Paper Citation Record · LEDGER

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

As of 11 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2508.11866.

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

pith.paper-citation-record.v1
2508.11866 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T19:54:24.574861Z

measured 41 of 41 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T02:55:35.186465Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T17:55:51.586541Z

Reference resolution

39 of 39 outbound references displayed

verified exact0
verified fuzzy0
unresolved39
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4aecf3c2-c67e-4ccb-8998-918a789a8b45 · outbound

This paper cites Alphonse, N.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Alphonse, N

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:21.472624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1377e979-cb81-4954-8849-bd76a184967b · outbound

This paper cites Bahouri, G.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Bahouri, G

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:21.563550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 477465a7-dd0e-47fe-82aa-0688c06952c6 · outbound

This paper cites an unresolved cited work.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:21.627482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b42ccf8-f552-41d7-90f3-19f3850a1ced · outbound

This paper cites Global well-posedness of one-dimensional cubic fractional nonlinear Schr\"odinger equations in negative Sobolev spaces.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Global well-posedness of one-dimensional cubic fractional nonlinear Schr\"odinger equations in negative Sobolev spaces

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:21.744426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54ecf8eb-bdbd-4ff5-8126-fcea2fed2b49 · 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 derivative fractional nonlinear Schr\"odinger equations on the torus Chihara, The initial value problem for Schr¨ odinger equations on the torus , Int

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:21.817926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76e88bea-c0e7-422a-ab2e-fe7bc42f0138 · outbound

This paper cites Chihara, Fourth-order dispersive systems on the one-dimensional torus, J.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Chihara, Fourth-order dispersive systems on the one-dimensional torus, J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:21.923876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 459b6b9a-0868-4eb6-b401-255c9b8199d7 · outbound

This paper cites an unresolved cited work.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.041723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fa6bf93-b9f3-4d50-b75b-e069afe4bef8 · outbound

This paper cites an unresolved cited work.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.121053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cb0d4f0-284b-4af2-9789-9a82118f8ddf · outbound

This paper cites Gassot, The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability , Ann.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Gassot, The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability , Ann

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.225885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b09fdd6e-1cd7-4ed7-8565-6630ee3ead32 · outbound

This paper cites Hayashi, T.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Hayashi, T

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.274645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cfe8257-8c4d-4879-b6e2-7529f0ed3a9f · outbound

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

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

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.343920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6169e4a7-75ac-48ec-87e6-cf1bff1038c8 · outbound

This paper cites an unresolved cited work.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.418152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b536832-7f5a-417e-856b-79b363c06a0c · outbound

This paper cites J¨ ockel,Well-posedness of the periodic dispersion-generalized Benjamin-Ono equa- tion in the weakly dispersive regime, Nonlinearity 37 (2024), no.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus J¨ ockel,Well-posedness of the periodic dispersion-generalized Benjamin-Ono equa- tion in the weakly dispersive regime, Nonlinearity 37 (2024), no

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.500367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd952c89-b80e-4e1c-b781-ee59e5bfe397 · outbound

This paper cites Kappeler, P.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Kappeler, P

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.611326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed1cacd7-c4f7-4afa-ac5b-7d81764990b9 · outbound

This paper cites an unresolved cited work.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.718565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0556bec-0eb1-4014-9a39-50331e6b6c0c · outbound

This paper cites an unresolved cited work.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.767524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b123104a-c06f-4f07-a022-1d7baa6ca4a0 · outbound

This paper cites an unresolved cited work.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.876227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 534c0d36-6222-4907-83db-99501081a9d8 · outbound

This paper cites Killip, M.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Killip, M

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:22.951986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df8aad9a-4e3d-4d4b-b095-dcf458e78a46 · outbound

This paper cites Kishimoto, Y.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Kishimoto, Y

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.009154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c048171-0394-4fc9-8bfa-833b191e89cc · outbound

This paper cites Kondo, M.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Kondo, M

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.120015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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 ef9a5f3a-4af0-4fe1-8182-b7ec8dd212eb · outbound

This paper cites Kwak, Low regularity Cauchy problem for the fifth-order modified KdV equations on T, J.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Kwak, Low regularity Cauchy problem for the fifth-order modified KdV equations on T, J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.258956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7d7f80c-d611-460c-9369-741b57a52033 · outbound

This paper cites Laskin, Fractional quantum mechanics and L´ evy path integrals, Phys.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Laskin, Fractional quantum mechanics and L´ evy path integrals, Phys

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.357990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 859d1296-b515-4245-a36c-3a7878adf010 · outbound

This paper cites Li, On Kato-Ponce and fractional Leibniz , Rev.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Li, On Kato-Ponce and fractional Leibniz , Rev

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.466047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9e43cb4-1604-4b08-b378-59aaefff25e0 · outbound

This paper cites Liang, Y.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Liang, Y

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.512359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a184045c-d7c8-456b-a03c-537450657baa · outbound

This paper cites an unresolved cited work.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.578879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11e5fe46-b551-46c2-bd11-c909202bf255 · outbound

This paper cites Mizuhara, The initial value problem for third and fourth order dispersive equations in one space dimension , Funkcial.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Mizuhara, The initial value problem for third and fourth order dispersive equations in one space dimension , Funkcial

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.654259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce800ea1-6785-4d46-82b1-d0d22f5a2ec8 · outbound

This paper cites Molinet, T.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Molinet, T

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.732475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a838122-4252-4313-aaed-ef2221bb1209 · outbound

This paper cites Nakanishi, B.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Nakanishi, B

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.798794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5ad59a0-777e-435f-bb2e-9bb8c62bdcd2 · outbound

This paper cites Local well-posedness for a fourth-order nonlinear dispersive system on the 1D torus.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Local well-posedness for a fourth-order nonlinear dispersive system on the 1D torus

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.908817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df3d6584-252f-434e-8cbc-04a946836277 · 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 derivative fractional nonlinear 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 31

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:23.975934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46ab8208-6e89-48ab-89b7-f4d22d1da26f · outbound

This paper cites Sanchez, O.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Sanchez, O

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:24.057521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 050cbcf0-f53e-43d9-941f-1afae99882e3 · outbound

This paper cites Schippa, Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle , Nonlinear Anal.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Schippa, Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle , Nonlinear Anal

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:24.129789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7adeaa8b-2da2-4a9e-83d1-baa8a5e9548e · outbound

This paper cites Segata, Refined energy inequality with application to well-posedness for the fourth order nonlinear Schr¨ odinger type equation on torus , J.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Segata, Refined energy inequality with application to well-posedness for the fourth order nonlinear Schr¨ odinger type equation on torus , J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:24.207358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44d37d8b-f649-4657-ba0e-6067ee78a925 · outbound

This paper cites Segata, Initial value problem for the fourth order nonlinear Schr¨ odinger type equa- tion on torus and orbital stability of standing waves , Commun.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Segata, Initial value problem for the fourth order nonlinear Schr¨ odinger type equa- tion on torus and orbital stability of standing waves , Commun

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:24.338540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c826d1ff-d553-46d6-966c-a159d898bec7 · outbound

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

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Takaoka, Well-posedness for the one-dimensional nonlinear Schr¨ odinger equation with the derivative nonlinearity , Adv

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:24.422325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98528797-bc94-43a3-b277-4164154fcf17 · outbound

This paper cites Tanaka, K.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Tanaka, K

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:24.461307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 107ffc99-7893-443b-b8d4-29a6c8686d6b · 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 derivative fractional nonlinear Schr\"odinger equations on the torus Tao, Multilinear weighted convolution of L2-functions, and applications to nonlin- ear dispersive equations, Amer

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:24.520517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 084a2202-2176-419d-a910-76b2f35c6f35 · outbound

This paper cites an unresolved cited work.

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-05T19:54:24.574861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 9c595006-787e-4eda-b3c7-cc43208f6552 · inbound

Norm inflation for quadratic derivative fractional nonlinear Schr\"odinger equations cites this paper.

Norm inflation for quadratic derivative fractional nonlinear Schr\"odinger equations Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schr\"odinger equations on the torus

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:52:46.010223Z

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 f3c3fc09-8970-49d6-aab5-ec080f277751 · 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 derivative fractional nonlinear Schr\"odinger equations on the torus

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-07-01T17:55:51.588608Z

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.