Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:34:55.958848Z
Paper Citation Record · LEDGER
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.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:34:55.958848Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
67 of 67 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation b18328f4-8ff2-460f-b608-26436d79ebea · outbound
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
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.
Observation e64f42bc-39c3-47b3-9417-090964b66e02 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities A sharpness result for powers of Besov fu nctions
Reference 2
Source-reported events for the cited work
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Observation 880662ec-519c-4159-9218-2b81c67cd503 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Fonctions qui op` erent sur les espaces de Sobolev
Reference 3
Source-reported events for the cited work
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Observation 6e936e3a-a6f4-4fc3-8ca5-49cbd45d3f97 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Compos ition operators on Lizorkin-Triebel spaces
Reference 4
Source-reported events for the cited work
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Observation d3f05f3d-d836-4dfb-8c7a-6f560f830aff · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Compos ition operators acting on Besov spaces on the real line
Reference 5
Source-reported events for the cited work
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Observation d4a4afca-ccbf-4f0f-8ec5-033743aab57b · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities On nonlinear Schr¨ odinger equations
Reference 6
Source-reported events for the cited work
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Observation f62cda17-b35b-4852-8d88-16eb22e07520 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Scattering in the energy space and below for 3D N LS
Reference 7
Source-reported events for the cited work
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Observation 086c77a6-9524-438f-b868-caee7c954983 · outbound
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
Source-reported events for the cited work
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Observation f5d4a362-8f55-4d0c-93bc-55352f7c7b93 · outbound
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
Source-reported events for the cited work
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Observation 7c655979-1540-47e9-bf6b-a2b32bfc24c4 · outbound
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
Source-reported events for the cited work
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Observation cc0ed2b4-42cd-4234-9ce0-3ac9b6278828 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work
Reference 11
Source-reported events for the cited work
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Observation 253520b5-b707-4aa5-bb11-5dee7a74fdc7 · outbound
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
Source-reported events for the cited work
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Observation 59006764-10ae-4eb9-b669-a1ae992947d1 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Weissler
Reference 13
Source-reported events for the cited work
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Observation 0fb70b7b-7764-4ddd-b166-b2135df82385 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Continuous dependence for NLS in fractional order spaces
Reference 14
Source-reported events for the cited work
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Observation 1a63cf92-90b8-4f85-8541-eefb773f72de · outbound
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
Source-reported events for the cited work
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Observation c3cec1d9-2a41-4f7c-85bf-dba17d33b2f6 · outbound
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
Source-reported events for the cited work
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Observation 25898bf3-5258-4873-9e8d-b88ed01565d7 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Spatial behavior for NLS a nd applications to scattering
Reference 17
Source-reported events for the cited work
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Observation aee573a9-714a-46d5-a53e-739a4a325933 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Local smooth solutions of the nonlinear Klein-Gordon equation
Reference 18
Source-reported events for the cited work
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Observation b4eef0a9-3714-4414-9899-5e53225ef614 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work
Reference 19
Source-reported events for the cited work
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Observation 0b83bc67-f5f2-4475-8bb3-13b6acb2076e · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Ill-posedness for nonlinear Schrodinger and wave equations
Reference 20
Source-reported events for the cited work
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Observation b27ffca4-7a48-47d6-9a34-572fcc9ae85f · outbound
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
Source-reported events for the cited work
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Observation 8f973825-7f4a-471c-8842-cd2cb111a780 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Blow-up criteria for fractional nonlinear Schr¨ odinger equations
Reference 22
Source-reported events for the cited work
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Observation 79a2b158-c77a-4eeb-9bc4-c25da5ffeccd · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities On the well-posedness for NLS in H s
Reference 23
Source-reported events for the cited work
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Observation b79277c9-a268-4441-ab88-879fd181869a · outbound
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
Source-reported events for the cited work
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Observation 0595163c-e318-43a6-b865-fd74e34e4ff5 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities The Kato-Ponce inequality
Reference 25
Source-reported events for the cited work
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Observation f21a1b38-4832-4d8c-a5d5-8da8a0b6f909 · outbound
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
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.
Observation 1d9c4416-d64c-4eb8-abba-90e02370bf92 · outbound
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
Source-reported events for the cited work
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Observation fd9299f6-4771-4f09-a33b-ca00f001bb9e · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Global solutions for cubic quasilinear ultrahyperbolic Schr\"odinger flows
Reference 28
Source-reported events for the cited work
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Observation c97fa2a8-abb7-4f68-8396-fbcfbb76fd29 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Local well-posedness for quas i-linear problems: a primer
Reference 29
Source-reported events for the cited work
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Observation 181007eb-aa1b-4b87-8114-f6c6c56607fe · outbound
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
Source-reported events for the cited work
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Observation 082c88e3-6295-4eca-b92d-2eb7df0d131b · outbound
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
Source-reported events for the cited work
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Observation eedf200e-4464-4e02-845e-f97c1d373f8e · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities On nonlinear Schr¨ odinger equations
Reference 32
Source-reported events for the cited work
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Observation 40d4f2bf-bba4-41cd-9147-0a671e6c108d · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Nonlinear Schr¨ odinger equations
Reference 33
Source-reported events for the cited work
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Observation 29327448-0a09-410e-84bc-0a75038a7033 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Kenig and Kenneth D
Reference 34
Source-reported events for the cited work
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Observation 74e8c2d2-8cd6-4600-bad4-9a67312d07b0 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Kenig, Gustavo Ponce, and Luis Vega
Reference 35
Source-reported events for the cited work
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Observation 0aa1c88f-48e4-40d6-b43b-3c9edcea98d5 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Kenig and Hideo Takaoka
Reference 36
Source-reported events for the cited work
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Observation 3ed5e5ba-4f6c-41db-80e2-f49d98331dc7 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities KdV is well-posed in H − 1
Reference 37
Source-reported events for the cited work
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Observation ba272e88-99e3-4d27-bb83-7460cf3383bd · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Energy-supercritical NLS: critical ˙H s-bounds imply scattering
Reference 38
Source-reported events for the cited work
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Observation 8bf87225-1730-4463-9b84-ab53d38a46f5 · outbound
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
Source-reported events for the cited work
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Observation 973f1bc9-f63b-4393-bd87-468e966f4b15 · outbound
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
Source-reported events for the cited work
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Observation 353d07d2-00c7-4e49-a143-f780f371b604 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Une extension du th´ eor` eme de Bourdaud-Kateb-Meyer
Reference 41
Source-reported events for the cited work
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Observation 7f2f3a4c-d612-428f-bc23-01c78a5ab3b8 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work
Reference 42
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.
Observation 211391d2-da01-4bb3-b170-e6ad58b1883d · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Interpolation theory , volume 16 of Appunti
Reference 43
Source-reported events for the cited work
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Observation 4dc5f108-d8cb-4dc6-bdf3-a25eccd108ad · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Marzuola, Jason Metcalfe, and Daniel Tataru
Reference 44
Source-reported events for the cited work
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Observation 69a8541f-4cc4-4b54-959c-60fa6cfc249a · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Edizioni della Normale, Pisa, 2008
Reference 45
Source-reported events for the cited work
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Observation 271aa2ba-1783-4390-b33b-3b5028acdd02 · outbound
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
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.
Observation 3f21c96f-e8d1-4b56-8899-a610f05bb35d · outbound
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
Source-reported events for the cited work
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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
Source-reported events for the cited work
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Observation 9efb4997-a13a-455a-8e98-dd554fe5df64 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities On the boundedness of the mapping f → |f | in Besov spaces
Reference 49
Source-reported events for the cited work
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Observation 21d944a8-0283-43d2-86a9-eb81e1267a9d · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Local solutions of semilinear wave equations in H s+1
Reference 50
Source-reported events for the cited work
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Observation 2adabcd9-8217-4fce-b5cc-cff031a233c1 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Solutions of semilinear Schr¨ odinger equation s in H s
Reference 51
Source-reported events for the cited work
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Observation 84a3c17c-0784-461a-aebb-e5b95e177ca0 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work
Reference 52
Source-reported events for the cited work
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Observation 6c514806-2129-4c9c-9a7a-afb837bca791 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work
Reference 53
Source-reported events for the cited work
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Observation 07969c69-3882-47b9-bb02-bd3f74da586b · outbound
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
Source-reported events for the cited work
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Observation 014b270f-b9db-4d2c-b4d9-1c834bed2689 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Strichartz
Reference 55
Source-reported events for the cited work
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Observation 02035a4d-7db0-44f4-8d28-844e0331bac6 · outbound
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
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.
Observation 2882b3c9-b1ca-4ae4-b0ea-47b39d4be435 · outbound
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
Source-reported events for the cited work
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Observation e7a904e5-ffc2-4dc9-a3b0-b0fa5ca93599 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Low regularity semi-linear wave equations
Reference 58
Source-reported events for the cited work
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Observation 3442726d-94de-4be3-99c8-6ec4e43236a3 · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Global regularity of wave maps
Reference 59
Source-reported events for the cited work
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Observation 4a9f6c3b-925a-48fb-9702-faca38850a96 · outbound
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
Source-reported events for the cited work
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Observation 378faeaa-5b4d-474c-a40a-1a10985fbf43 · outbound
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
Source-reported events for the cited work
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Observation 08528db2-ee87-455f-8658-ba3ab2db906a · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Unresolved cited work
Reference 62
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.
Observation 7b5e40e2-0120-486a-8e4f-ac97840151cc · outbound
On the optimal Sobolev threshold for evolution equations with rough nonlinearities Global strong solutions for nonlinear Schr¨ od inger equations
Reference 63
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.
Observation b56869e2-c4c7-4be9-b3b7-f13ba184cff0 · outbound
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
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.
Observation b1e6d8be-bb62-4898-84e7-888170ab3ded · outbound
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
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.
Observation 45a8ac40-573b-4a5b-b64e-3326ace37aa6 · outbound
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
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.
Observation f22bd29f-5de3-4aae-aaab-f313af90247e · outbound
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
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.
No inbound Pith citation observations are available.