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Paper Citation Record · LEDGER

On the optimal Sobolev threshold for evolution equations with rough nonlinearities

As of 11 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2505.14966.

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pith.paper-citation-record.v1
2505.14966 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:34:55.958848Z

measured 67 of 67 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

67 of 67 outbound references displayed

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External citation measurements

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Outbound references

Observation b18328f4-8ff2-460f-b608-26436d79ebea · outbound

This paper cites Calcul symbolique et propagation des singular it´ es pour les ´ equations aux d´ eriv´ ees partielles non lin´ eaires.Ann.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Calcul symbolique et propagation des singular it´ es pour les ´ equations aux d´ eriv´ ees partielles non lin´ eaires.Ann

Reference 1

Resolution
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Observation e64f42bc-39c3-47b3-9417-090964b66e02 · outbound

This paper cites A sharpness result for powers of Besov fu nctions.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities A sharpness result for powers of Besov fu nctions

Reference 2

Resolution
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Observation 880662ec-519c-4159-9218-2b81c67cd503 · outbound

This paper cites Fonctions qui op` erent sur les espaces de Sobolev.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Fonctions qui op` erent sur les espaces de Sobolev

Reference 3

Resolution
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Observation 6e936e3a-a6f4-4fc3-8ca5-49cbd45d3f97 · outbound

This paper cites Compos ition operators on Lizorkin-Triebel spaces.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Compos ition operators on Lizorkin-Triebel spaces

Reference 4

Resolution
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Source-reported events for the cited work

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Observation d3f05f3d-d836-4dfb-8c7a-6f560f830aff · outbound

This paper cites Compos ition operators acting on Besov spaces on the real line.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Compos ition operators acting on Besov spaces on the real line

Reference 5

Resolution
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Source-reported events for the cited work

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Observation d4a4afca-ccbf-4f0f-8ec5-033743aab57b · outbound

This paper cites On nonlinear Schr¨ odinger equations.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On nonlinear Schr¨ odinger equations

Reference 6

Resolution
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Source-reported events for the cited work

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Observation f62cda17-b35b-4852-8d88-16eb22e07520 · outbound

This paper cites Scattering in the energy space and below for 3D N LS.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Scattering in the energy space and below for 3D N LS

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 086c77a6-9524-438f-b868-caee7c954983 · outbound

This paper cites Global solutions of nonlinear Schr¨ odinger equations, volume 46 of American Mathematical Society Colloquium Publications.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Global solutions of nonlinear Schr¨ odinger equations, volume 46 of American Mathematical Society Colloquium Publications

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation f5d4a362-8f55-4d0c-93bc-55352f7c7b93 · outbound

This paper cites On the global Cauchy problem for the nonlinear Sc hr¨ odinger equation.Proc.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On the global Cauchy problem for the nonlinear Sc hr¨ odinger equation.Proc

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 7c655979-1540-47e9-bf6b-a2b32bfc24c4 · outbound

This paper cites Construction of blowup solu tions for the nonlinear Schr¨ odinger equation with critical nonlinearity.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Construction of blowup solu tions for the nonlinear Schr¨ odinger equation with critical nonlinearity

Reference 10

Resolution
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Source-reported events for the cited work

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Observation cc0ed2b4-42cd-4234-9ce0-3ac9b6278828 · outbound

This paper cites an unresolved cited work.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work

Reference 11

Resolution
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Source-reported events for the cited work

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Observation 253520b5-b707-4aa5-bb11-5dee7a74fdc7 · outbound

This paper cites Semilinear Schr¨ odinger equations, volume 10 of Courant Lecture Notes in Mathematics.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Semilinear Schr¨ odinger equations, volume 10 of Courant Lecture Notes in Mathematics

Reference 12

Resolution
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Source-reported events for the cited work

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Observation 59006764-10ae-4eb9-b669-a1ae992947d1 · outbound

This paper cites Weissler.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Weissler

Reference 13

Resolution
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Observation 0fb70b7b-7764-4ddd-b166-b2135df82385 · outbound

This paper cites Continuous dependence for NLS in fractional order spaces.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Continuous dependence for NLS in fractional order spaces

Reference 14

Resolution
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Source-reported events for the cited work

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Observation 1a63cf92-90b8-4f85-8541-eefb773f72de · outbound

This paper cites Local well-p osedness for the H 2-critical nonlinear Schr¨ odinger equation.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Local well-p osedness for the H 2-critical nonlinear Schr¨ odinger equation

Reference 15

Resolution
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Source-reported events for the cited work

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Observation c3cec1d9-2a41-4f7c-85bf-dba17d33b2f6 · outbound

This paper cites Local existence, global e xistence, and scattering for the nonlinear Schr¨ odinger equation.Commun.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Local existence, global e xistence, and scattering for the nonlinear Schr¨ odinger equation.Commun

Reference 16

Resolution
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Source-reported events for the cited work

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Observation 25898bf3-5258-4873-9e8d-b88ed01565d7 · outbound

This paper cites Spatial behavior for NLS a nd applications to scattering.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Spatial behavior for NLS a nd applications to scattering

Reference 17

Resolution
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Source-reported events for the cited work

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Observation aee573a9-714a-46d5-a53e-739a4a325933 · outbound

This paper cites Local smooth solutions of the nonlinear Klein-Gordon equation.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Local smooth solutions of the nonlinear Klein-Gordon equation

Reference 18

Resolution
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Source-reported events for the cited work

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Observation b4eef0a9-3714-4414-9899-5e53225ef614 · outbound

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On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work

Reference 19

Resolution
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Source-reported events for the cited work

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This paper cites Ill-posedness for nonlinear Schrodinger and wave equations.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Ill-posedness for nonlinear Schrodinger and wave equations

Reference 20

Resolution
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Source-reported events for the cited work

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Observation b27ffca4-7a48-47d6-9a34-572fcc9ae85f · outbound

This paper cites Polynomial upper bounds for the instability of the nonlinear Schr¨ odinger equation below the e nergy norm.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Polynomial upper bounds for the instability of the nonlinear Schr¨ odinger equation below the e nergy norm

Reference 21

Resolution
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Source-reported events for the cited work

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Observation 8f973825-7f4a-471c-8842-cd2cb111a780 · outbound

This paper cites Blow-up criteria for fractional nonlinear Schr¨ odinger equations.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Blow-up criteria for fractional nonlinear Schr¨ odinger equations

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 79a2b158-c77a-4eeb-9bc4-c25da5ffeccd · outbound

This paper cites On the well-posedness for NLS in H s.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On the well-posedness for NLS in H s

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation b79277c9-a268-4441-ab88-879fd181869a · outbound

This paper cites Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation 0595163c-e318-43a6-b865-fd74e34e4ff5 · outbound

This paper cites The Kato-Ponce inequality.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities The Kato-Ponce inequality

Reference 25

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation f21a1b38-4832-4d8c-a5d5-8da8a0b6f909 · outbound

This paper cites Sharp w ell-posedness for the cubic NLS and mKdV in H s(R).

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Sharp w ell-posedness for the cubic NLS and mKdV in H s(R)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.529644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 1d9c4416-d64c-4eb8-abba-90e02370bf92 · outbound

This paper cites On dispersive blow-ups for t he nonlinear Schr¨ odinger equation.Differential Integral Equations, 29(9-10):875–888, 2016.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On dispersive blow-ups for t he nonlinear Schr¨ odinger equation.Differential Integral Equations, 29(9-10):875–888, 2016

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.517202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation fd9299f6-4771-4f09-a33b-ca00f001bb9e · outbound

This paper cites Global solutions for cubic quasilinear ultrahyperbolic Schr\"odinger flows.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Global solutions for cubic quasilinear ultrahyperbolic Schr\"odinger flows

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:34:56.023628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation c97fa2a8-abb7-4f68-8396-fbcfbb76fd29 · outbound

This paper cites Local well-posedness for quas i-linear problems: a primer.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Local well-posedness for quas i-linear problems: a primer

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.503454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 181007eb-aa1b-4b87-8114-f6c6c56607fe · outbound

This paper cites Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Global solutions for cubic quasilinear Schroedinger flows in two and higher dimensions

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T15:34:55.802175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 082c88e3-6295-4eca-b92d-2eb7df0d131b · outbound

This paper cites On the boundedness of the mapping f ↦→ |f |µ , µ > 1 on Besov spaces.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On the boundedness of the mapping f ↦→ |f |µ , µ > 1 on Besov spaces

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.489345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation eedf200e-4464-4e02-845e-f97c1d373f8e · outbound

This paper cites On nonlinear Schr¨ odinger equations.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On nonlinear Schr¨ odinger equations

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.476550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 40d4f2bf-bba4-41cd-9147-0a671e6c108d · outbound

This paper cites Nonlinear Schr¨ odinger equations.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Nonlinear Schr¨ odinger equations

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.464739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 29327448-0a09-410e-84bc-0a75038a7033 · outbound

This paper cites Kenig and Kenneth D.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Kenig and Kenneth D

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.451746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.820191Z digest=sha256:0a0d2de8f74df0fd561433b95bf7214743d9a840b231e7b208432cd9db05d393

Observation 74e8c2d2-8cd6-4600-bad4-9a67312d07b0 · outbound

This paper cites Kenig, Gustavo Ponce, and Luis Vega.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Kenig, Gustavo Ponce, and Luis Vega

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.437143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.825112Z digest=sha256:43460e5e248d6be7fc76ae99374226893fffdc898e5e13d64a2c91dc84b0714e

Observation 0aa1c88f-48e4-40d6-b43b-3c9edcea98d5 · outbound

This paper cites Kenig and Hideo Takaoka.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Kenig and Hideo Takaoka

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.421871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.829925Z digest=sha256:0cc38deb1cb7a3bd7fb46ac6ba35a75470d1a46ae386a25be0facfcddb841929

Observation 3ed5e5ba-4f6c-41db-80e2-f49d98331dc7 · outbound

This paper cites KdV is well-posed in H − 1.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities KdV is well-posed in H − 1

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.408349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.834140Z digest=sha256:b394eb4e9d6432c99e4c453cdf6bff953c9e1a62bb6ca2dcb90694e0c9188d89

Observation ba272e88-99e3-4d27-bb83-7460cf3383bd · outbound

This paper cites Energy-supercritical NLS: critical ˙H s-bounds imply scattering.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Energy-supercritical NLS: critical ˙H s-bounds imply scattering

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.394683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.838114Z digest=sha256:df87ab7215ad16b2cdd5af53a92165cd1ef77da67458e78109c41a0d0cddab87

Observation 8bf87225-1730-4463-9b84-ab53d38a46f5 · outbound

This paper cites The radial defocusing energy-supe rcritical nonlinear wave equation in all space dimensions.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities The radial defocusing energy-supe rcritical nonlinear wave equation in all space dimensions

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.381562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.842217Z digest=sha256:6cbcccc0885ebc0990b13f62acfbf283a53ef2b0432c20f9fd6fedf8a5c62b06

Observation 973f1bc9-f63b-4393-bd87-468e966f4b15 · outbound

This paper cites Sharp Lr asymptotics of the small solutions to the nonlinear Schr¨ odinger eq uations.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Sharp Lr asymptotics of the small solutions to the nonlinear Schr¨ odinger eq uations

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.368562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.846186Z digest=sha256:172d26bf231f3b1d0c9e7bbd4177498224fc2fded167ee26bc47967a4a97962d

Observation 353d07d2-00c7-4e49-a143-f780f371b604 · outbound

This paper cites Une extension du th´ eor` eme de Bourdaud-Kateb-Meyer.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Une extension du th´ eor` eme de Bourdaud-Kateb-Meyer

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.357023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.851225Z digest=sha256:47e81cc68617e3320645d3d3cd9534a9e1c2864f0645ba17899ffda81e2b05bd

Observation 7f2f3a4c-d612-428f-bc23-01c78a5ab3b8 · outbound

This paper cites an unresolved cited work.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:34:56.345183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.855900Z digest=sha256:15a858597ccea0351c719adbed88db486b444bb6a5c34a7d06a6216dcf5b183a

Observation 211391d2-da01-4bb3-b170-e6ad58b1883d · outbound

This paper cites Interpolation theory , volume 16 of Appunti.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Interpolation theory , volume 16 of Appunti

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.333827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.859687Z digest=sha256:7a14a2a35476520d5bfbacb2e04cf13e3194a4f74c1bc0522dcbdc83ac85a2f3

Observation 4dc5f108-d8cb-4dc6-bdf3-a25eccd108ad · outbound

This paper cites Marzuola, Jason Metcalfe, and Daniel Tataru.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Marzuola, Jason Metcalfe, and Daniel Tataru

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.320907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.864054Z digest=sha256:b5e429592c6a0bf9bc7e8616f744c299d1bf175d3862209af4e7ebde02454821

Observation 69a8541f-4cc4-4b54-959c-60fa6cfc249a · outbound

This paper cites Edizioni della Normale, Pisa, 2008.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Edizioni della Normale, Pisa, 2008

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.308261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.869099Z digest=sha256:6d74885136ed9b39dfe8f723fcf14899b4974d1f2731d207e0919b9c2eb076b5

Observation 271aa2ba-1783-4390-b33b-3b5028acdd02 · outbound

This paper cites On the regularity of the semilinear term on th e Cauchy problem for the Schr¨ odinger equa- tion.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On the regularity of the semilinear term on th e Cauchy problem for the Schr¨ odinger equa- tion

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.296856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.873761Z digest=sha256:83eac8ff67324547fb99f7323410cc01c8b7c1c16df42e8a17b49e85dd31e048

Observation 3f21c96f-e8d1-4b56-8899-a610f05bb35d · outbound

This paper cites Modified Strichartz estim ates with an application to the critical nonlinear Schr¨ odinger equation.Nonlinear Anal., 130:138–156, 2016.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Modified Strichartz estim ates with an application to the critical nonlinear Schr¨ odinger equation.Nonlinear Anal., 130:138–156, 2016

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.284355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.877635Z digest=sha256:bd43313714135b5b6802a715817527e2969545c9222113ad9696c36b776c80f2

Observation 1b15a9d9-bddd-4ccb-80ce-7ef12c1755b3 · outbound

This paper cites Strichartz type estimat es in mixed Besov spaces with application to critical nonlinear Schr¨ odinger equations.J.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Strichartz type estimat es in mixed Besov spaces with application to critical nonlinear Schr¨ odinger equations.J

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.272746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.881674Z digest=sha256:17b843faf8cbb2b4ab72a852245843c01da5e869389a2056df79b90cf19e960e

Observation 9efb4997-a13a-455a-8e98-dd554fe5df64 · outbound

This paper cites On the boundedness of the mapping f → |f | in Besov spaces.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On the boundedness of the mapping f → |f | in Besov spaces

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.261053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.886334Z digest=sha256:bf514b7ff271a78be5ce7eb1deb52bc770492352dc48b5bd45d04576ef91f0b5

Observation 21d944a8-0283-43d2-86a9-eb81e1267a9d · outbound

This paper cites Local solutions of semilinear wave equations in H s+1.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Local solutions of semilinear wave equations in H s+1

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.248722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.890121Z digest=sha256:f16ba1ac6612ffbc15a6946b4afe3d0f5e938a5f343b1af1a579b2b02a6f60dd

Observation 2adabcd9-8217-4fce-b5cc-cff031a233c1 · outbound

This paper cites Solutions of semilinear Schr¨ odinger equation s in H s.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Solutions of semilinear Schr¨ odinger equation s in H s

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.236602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.893892Z digest=sha256:7c95d1cf04a82a25d8015dc89667db8da8c43ef192c722b5cc6f5047385e8eee

Observation 84a3c17c-0784-461a-aebb-e5b95e177ca0 · outbound

This paper cites an unresolved cited work.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:34:56.221953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.897772Z digest=sha256:bd7d901aa99e56b777bdccba1c981196fb1d42dc783a5cc3b6575ba02559196a

Observation 6c514806-2129-4c9c-9a7a-afb837bca791 · outbound

This paper cites an unresolved cited work.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work

Reference 53

Resolution
verified exact
doi, observed 2026-08-07T15:34:55.993515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.901165Z digest=sha256:aced90df2efd529bd619036bbdec7bbefa93e2d9bca894a1516f81b034e8f4df

Observation 07969c69-3882-47b9-bb02-bd3f74da586b · outbound

This paper cites On Low Regularity Dynamics for Quasilinear Dispersive Equa tions and Free Boundary Problems.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On Low Regularity Dynamics for Quasilinear Dispersive Equa tions and Free Boundary Problems

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.209872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.905302Z digest=sha256:99ca83363cbd73812960632f8bf4cc6e2db29454efd08c5099685a560a787424

Observation 014b270f-b9db-4d2c-b4d9-1c834bed2689 · outbound

This paper cites Strichartz.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Strichartz

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.198463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.909128Z digest=sha256:41b925606273f0920b9f00a17aac283ca6ca95b451cd521a9d111eb6f193f646

Observation 02035a4d-7db0-44f4-8d28-844e0331bac6 · outbound

This paper cites The nonlinear Schr¨ odinger equation: self-focusing and wa ve collapse , volume 139.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities The nonlinear Schr¨ odinger equation: self-focusing and wa ve collapse , volume 139

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.186443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.912508Z digest=sha256:8d5f13edd8d5c7b255408dadecda82a8dcaaac6e3a9ae8f5b9f494d2baa64997

Observation 2882b3c9-b1ca-4ae4-b0ea-47b39d4be435 · outbound

This paper cites On local well-posedness for H s-critical nonlinear Schr¨ odinger equations.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On local well-posedness for H s-critical nonlinear Schr¨ odinger equations

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.174674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.917110Z digest=sha256:3814f4c4dd146a428ba79a43d6e4c506abb33f48bd9ad656575c0bdc085cf8e5

Observation e7a904e5-ffc2-4dc9-a3b0-b0fa5ca93599 · outbound

This paper cites Low regularity semi-linear wave equations.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Low regularity semi-linear wave equations

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.163223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.920778Z digest=sha256:b3d749cf6425df3a73a931bd65113a518340dbb7e1aae212b67207aa3acb93fe

Observation 3442726d-94de-4be3-99c8-6ec4e43236a3 · outbound

This paper cites Global regularity of wave maps.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Global regularity of wave maps

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.152255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.925810Z digest=sha256:52809742c859b7d8183e1817dd35f0959363951d264736116b7ea65afd5b238a

Observation 4a9f6c3b-925a-48fb-9702-faca38850a96 · outbound

This paper cites Global well-posedness and scattering for the hig her-dimensional energy-critical nonlinear Schr¨ odinger equation for radial data.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Global well-posedness and scattering for the hig her-dimensional energy-critical nonlinear Schr¨ odinger equation for radial data

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.139806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.930530Z digest=sha256:d90fbb5e06e389d1bbb47fb603e0e400e8d13005ffe467a3d38a59aa405296e5

Observation 378faeaa-5b4d-474c-a40a-1a10985fbf43 · outbound

This paper cites Nonlinear dispersive equations: local and global analysis , volume 106 of CBMS Regional Conference Series in Mathematics.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Nonlinear dispersive equations: local and global analysis , volume 106 of CBMS Regional Conference Series in Mathematics

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.124672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.934717Z digest=sha256:c7daf16f51819cc11ac2e6365cf3dba289e008501e85055df0a0a95ed2121e11

Observation 08528db2-ee87-455f-8658-ba3ab2db906a · outbound

This paper cites an unresolved cited work.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:34:56.111832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.938896Z digest=sha256:d00e7e227247ac255ab41d9f45978c5d2ed9fd65fac94195ff1e49d4311ff537

Observation 7b5e40e2-0120-486a-8e4f-ac97840151cc · outbound

This paper cites Global strong solutions for nonlinear Schr¨ od inger equations.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities Global strong solutions for nonlinear Schr¨ od inger equations

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.097914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.943625Z digest=sha256:b043c111d9cb26b1449f8552224dcc9f9e86727d4d00785334993a7a90594fd6

Observation b56869e2-c4c7-4be9-b3b7-f13ba184cff0 · outbound

This paper cites On well-posedness for n onlinear Schr¨ odinger equations with power non- linearity in fractional order Sobolev spaces.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities On well-posedness for n onlinear Schr¨ odinger equations with power non- linearity in fractional order Sobolev spaces

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.085112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.947024Z digest=sha256:fcd8177f628887acf49d8ab85b378c1002c6201305048798487f7445e940142d

Observation b1e6d8be-bb62-4898-84e7-888170ab3ded · outbound

This paper cites The defocusing energy-critical nonlinear Schroedinger eq uation in dimensions five and higher.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities The defocusing energy-critical nonlinear Schroedinger eq uation in dimensions five and higher

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.072555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.950640Z digest=sha256:013f985348d62fa9d651d3a53abf88ee3659e2d24985ea1f3825065d8dd6bc3a

Observation 45a8ac40-573b-4a5b-b64e-3326ace37aa6 · outbound

This paper cites The defocusing energy-critical nonlinear Schr¨ o dinger equation in higher dimensions.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities The defocusing energy-critical nonlinear Schr¨ o dinger equation in higher dimensions

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.060658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.954198Z digest=sha256:072336b332a8a87091308201f0abe7b04746b90916678174f631aa94c36de6c3

Observation f22bd29f-5de3-4aae-aaab-f313af90247e · outbound

This paper cites A remark on local well-posedness for nonlinear S chr¨ odinger equations with power nonlinearity— an alternative approach.

On the optimal Sobolev threshold for evolution equations with rough nonlinearities A remark on local well-posedness for nonlinear S chr¨ odinger equations with power nonlinearity— an alternative approach

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:34:56.048405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T15:34:55.958848Z digest=sha256:58001987baf2d2545084e722af18341ccfe8a78cb8ed4b4b9f8c1a31ac4b9dcc

Pith citing papers

No inbound Pith citation observations are available.