Paper Citation Record · LEDGER

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus

As of 11 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 3 inbound Pith citation observations for arXiv:2501.04205.

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

pith.paper-citation-record.v1
2501.04205 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:50:30.027006Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T19:54:23.194966Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T17:55:51.595778Z

Reference resolution

24 of 24 outbound references displayed

verified exact2
verified fuzzy13
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 74f86a6c-d647-4efe-bd18-c838ee66be3a · outbound

This paper cites an unresolved cited work.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:50:30.397975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c105deee-fe65-4e41-9798-fa57255fa9b1 · outbound

This paper cites an unresolved cited work.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:50:30.387523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d63312d1-f0a3-441f-a198-06d5ecfa66a0 · outbound

This paper cites Chihara, The initial value problem for Schr¨ odinger equations on the torus, Int.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Chihara, The initial value problem for Schr¨ odinger equations on the torus, Int

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.376715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 657fc9e4-f368-47ba-b377-6553c4c2961f · outbound

This paper cites Christ, Illposedness of a Schr¨ odinger equation with derivative no nlinearity, preprint.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Christ, Illposedness of a Schr¨ odinger equation with derivative no nlinearity, preprint

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.353652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 31fe567f-0648-4317-af9d-0e44eb1afe94 · outbound

This paper cites Chung, Z.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Chung, Z

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.342426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 288fb683-996a-4e6f-8e8a-047b95faadbb · outbound

This paper cites an unresolved cited work.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T21:50:29.851369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c72a99a-146e-4f23-8cda-c1bf773b20f2 · outbound

This paper cites On the Cauchy- and periodic boundary value problem for a certain class of derivative nonlinear Schroedinger equations.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus On the Cauchy- and periodic boundary value problem for a certain class of derivative nonlinear Schroedinger equations

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T21:50:29.858923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c7dbe26-26ca-4b03-a271-f743ece66302 · outbound

This paper cites Hao, Well-posedness for one-dimensional derivative nonlinear Schr¨ odinger equa- tions, Commun.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Hao, Well-posedness for one-dimensional derivative nonlinear Schr¨ odinger equa- tions, Commun

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.325991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 633ba564-fdbe-492f-a0bf-080815f6f86f · outbound

This paper cites Hayashi, T.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Hayashi, T

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.315038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f7aef972-1efd-4b24-9bab-9cc6f657bd8f · outbound

This paper cites Herr, On the Cauchy problem for the derivative nonlinear Schr¨ odi nger equation with periodic boundary condition , Int.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Herr, On the Cauchy problem for the derivative nonlinear Schr¨ odi nger equation with periodic boundary condition , Int

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.297807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0c709d62-899c-42d2-84d4-ca1497087d0c · outbound

This paper cites an unresolved cited work.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:50:30.286414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ab724589-6e0a-4e29-806a-2110e8a45a93 · outbound

This paper cites an unresolved cited work.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:50:30.275562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 584aa378-120f-4176-add3-dbe04cc4ef87 · outbound

This paper cites Killip, M.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Killip, M

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T21:50:29.935897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2349da04-5396-458c-914a-23c7a318156a · outbound

This paper cites Kishimoto, Y.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Kishimoto, Y

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.258217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cbad4581-3176-483c-9baf-825730965ee2 · outbound

This paper cites Kishimoto, Y.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Kishimoto, Y

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.247058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 73cb2341-60e1-4ca6-99ec-cdea9a2b212f · outbound

This paper cites Norm inflation for a higher-order nonlinear Schr\"odinger equation with a derivative on the circle.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Norm inflation for a higher-order nonlinear Schr\"odinger equation with a derivative on the circle

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:50:30.123867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f9f267b9-92ee-4aa5-b902-38bfe135ef5f · outbound

This paper cites Global wellposedness of general nonlinear evolution equations for distributions on the Fourier half space.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Global wellposedness of general nonlinear evolution equations for distributions on the Fourier half space

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:50:30.100065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3b8a2027-a786-4468-b614-52abf83b2005 · outbound

This paper cites Roy, Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus , Nonlinear Anal.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Roy, Local well-posedness and parabolic smoothing of solutions of fully nonlinear third-order equations on the torus , Nonlinear Anal

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T21:50:29.971450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 610c5830-9f19-4a13-b458-b4f3beec9a2d · outbound

This paper cites Takaoka, Well-posedness for the one-dimensional nonlinear Schr¨ od inger equation with the derivative nonlinearity , Adv.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Takaoka, Well-posedness for the one-dimensional nonlinear Schr¨ od inger equation with the derivative nonlinearity , Adv

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.228105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7555ff23-3769-44b0-9d80-b16006c98d83 · outbound

This paper cites Tanaka, K.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Tanaka, K

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.209929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 56cc91be-911b-494e-a583-32c25eb72cac · outbound

This paper cites Tao, Multilinear weighted convolution of L2-functions, and applications to nonlin- ear dispersive equations , Amer.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Tao, Multilinear weighted convolution of L2-functions, and applications to nonlin- ear dispersive equations , Amer

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.198755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0a5bbd35-a460-48d9-84cf-d9d7abee4c91 · outbound

This paper cites Tsugawa, Local well-posedness and parabolic smoothing eﬀect of ﬁfth o rder disper- sive equations on the torus , RIMS Kˆ okyˆ uroku Bessatsu, B60.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Tsugawa, Local well-posedness and parabolic smoothing eﬀect of ﬁfth o rder disper- sive equations on the torus , RIMS Kˆ okyˆ uroku Bessatsu, B60

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.185305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 98754ac4-8737-4500-8936-d3bd5b83daa4 · outbound

This paper cites Parabolic smoothing effect and local well-posedness of fifth order semilinear dispersive equations on the torus.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Parabolic smoothing effect and local well-posedness of fifth order semilinear dispersive equations on the torus

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T21:50:30.021701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61748f66-9d74-4e95-8565-f9e652755bee · outbound

This paper cites Tsugawa, Local well-posedness of derivative Schr¨ odinger equation s on the torus , preprint.

Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus Tsugawa, Local well-posedness of derivative Schr¨ odinger equation s on the torus , preprint

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:50:30.160295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 601274c0-0865-4402-87a2-32a2a400397e · inbound

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs cites this paper.

On Balancing Sparsity with Reliable Connectivity in Distributed Network Design with Random K-out Graphs Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T19:50:56.403750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 894d0b5b-1ca3-4f2b-950c-cd1f12c1a5c7 · inbound

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus cites this paper.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.194966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0cbafac-5ae4-4ba7-8efc-4be046dace48 · inbound

Unconditional Well-posedness for the MMT Equation on the Torus cites this paper.

Unconditional Well-posedness for the MMT Equation on the Torus Well- and ill-posedness of the Cauchy problem for semi-linear Schr\"odinger equations on the torus

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-01T17:55:51.597363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.