Paper Citation Record · LEDGER

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus

As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2411.17147.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.17147 v1

Coverage vector

measured 23 of 23 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T12:45:42.070562Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

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

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Source: cited_works

Reference resolution

23 of 23 outbound references displayed

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External citation measurements

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Outbound references

Observation d8ed66d7-b26c-478d-8e5f-a816381e042f · outbound

This paper cites Operator-valued Fourier multipliers, v ector-valued Besov spaces, and appli- cations.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Operator-valued Fourier multipliers, v ector-valued Besov spaces, and appli- cations

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.717390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1d391192-0d27-44a4-a2bd-6b99e2234d26 · outbound

This paper cites Compact embeddings of vector-valued Sob olev and Besov spaces.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Compact embeddings of vector-valued Sob olev and Besov spaces

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.685263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 76911f76-3510-49cb-83c4-da7916a1a8e3 · outbound

This paper cites Large data local soluti ons for the derivative NLS equation.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Large data local soluti ons for the derivative NLS equation

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.658054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7a8eca8e-aba0-4936-99d4-f86570b2000b · outbound

This paper cites Interpolation spaces: an introduction , volume 223.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Interpolation spaces: an introduction , volume 223

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.630855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 18880834-2240-467c-a5ff-525120f2d831 · outbound

This paper cites Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.596428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cf6237a7-3d1c-46e0-921d-6de53fc25eba · outbound

This paper cites Bourgain.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Bourgain

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T12:45:41.951096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b502d94d-da76-4fe5-b8f8-4ec59d107213 · outbound

This paper cites The proof of the l2 decoupling conjecture.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus The proof of the l2 decoupling conjecture

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T12:45:41.957496Z

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Unavailable: canonical work link unavailable.

Observation 2cdd3c12-cc2e-4915-a4ad-72b43f2616c8 · outbound

This paper cites Strichartz esti mates for Schrödinger equations on irrational tori.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Strichartz esti mates for Schrödinger equations on irrational tori

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.516175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5537d478-70d4-47d4-8a74-2f8d056e7d5c · outbound

This paper cites W ell-po sedness and scattering for the KP- II equation in a critical space.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus W ell-po sedness and scattering for the KP- II equation in a critical space

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.481632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e8c6a7a7-39f5-42f3-b5bd-cded2a16c483 · outbound

This paper cites G lobal well-posedness of the energy- critical nonlinear Schrödinger equation with small initia l data in H 1(T3).

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus G lobal well-posedness of the energy- critical nonlinear Schrödinger equation with small initia l data in H 1(T3)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.456904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 72cd1ff9-4ba8-437b-8454-4517f038d997 · outbound

This paper cites S trichartz estimates for partially pe- riodic solutions to Schrödinger equations in 4d and applications.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus S trichartz estimates for partially pe- riodic solutions to Schrödinger equations in 4d and applications

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.423163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation efb3a67d-5913-40cf-8e76-95619bc13b39 · outbound

This paper cites Ionescu and Benoit Pausader.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Ionescu and Benoit Pausader

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T12:45:41.985575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 565d1978-0f70-4285-ae11-07cffaa5fb2c · outbound

This paper cites Ionescu and Benoit Pausader.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Ionescu and Benoit Pausader

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T12:45:41.992483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdf9b9dc-aa19-47fe-b1a0-9d4e9834e70d · outbound

This paper cites Endpoint Strichartz estim ates.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Endpoint Strichartz estim ates

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T12:45:41.998660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff1bead4-b810-4b54-91a7-07e594b3a2c7 · outbound

This paper cites Scale invariant Stricha rtz estimates on tori and applications.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Scale invariant Stricha rtz estimates on tori and applications

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-12T12:45:42.005651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 394f188b-9a04-47c0-80f2-2120d37783b0 · outbound

This paper cites A priori bounds for the 1 D cubic NLS in negative Sobolev spaces.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus A priori bounds for the 1 D cubic NLS in negative Sobolev spaces

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.316442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 37dd9e90-8d61-4cbd-9780-a6a72ffb5b85 · outbound

This paper cites Dispersive equations and nonlinear waves, volume 45 of Oberwolfach Seminars.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Dispersive equations and nonlinear waves, volume 45 of Oberwolfach Seminars

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T12:45:42.018308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 954e69d2-c6a6-45d6-92fb-fe5eae4951b6 · outbound

This paper cites Local wellposedness for the critical nonli near Schrödinger equation on T3.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Local wellposedness for the critical nonli near Schrödinger equation on T3

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-12T12:45:42.032823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0be69d9-6c36-469b-a970-32ba626141c5 · outbound

This paper cites Modiﬁed Strichartz e stimates with an application to the critical nonlinear Schrödinger equation.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Modiﬁed Strichartz e stimates with an application to the critical nonlinear Schrödinger equation

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.243114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 02173e53-9981-489f-aee5-4c8430c23f5c · outbound

This paper cites Strichartz estimates for Schrödinger equ ations on irrational tori in two and three dimensions.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Strichartz estimates for Schrödinger equ ations on irrational tori in two and three dimensions

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.216554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 87ee8fce-70e2-42ba-8788-cb8b79dff34e · outbound

This paper cites The defocusing energy-critical nonline ar Schrödinger equation in higher di- mensions.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus The defocusing energy-critical nonline ar Schrödinger equation in higher di- mensions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T12:45:42.053992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 003eab1c-2fc4-4924-9d33-60abdef01542 · outbound

This paper cites Periodic nonlinear Schrödinger equation in critical H s(Tn) spaces.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Periodic nonlinear Schrödinger equation in critical H s(Tn) spaces

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.152985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6ee0d185-e23a-4dd7-946b-25e05118ffef · outbound

This paper cites Global well-posedness for the energy-cri tical focusing nonlinear Schrödinger equation on T4.

Critical local well-posedness of the nonlinear Schr\"odinger equation on the torus Global well-posedness for the energy-cri tical focusing nonlinear Schrödinger equation on T4

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T12:45:42.130801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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