Paper Citation Record · LEDGER

Long time behavior of small solutions of NLS with non-generic potentials in one dimension

As of 23 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2607.01509.

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

pith.paper-citation-record.v1
2607.01509 v2

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T08:44:44.185738Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

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

Source: cited_works

Reference resolution

47 of 47 outbound references displayed

verified exact0
verified fuzzy0
unresolved47
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a84c403c-9701-4314-97d1-78de756f150b · outbound

This paper cites Spectral properties of Schrödinger operators and scattering theory.Ann.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Spectral properties of Schrödinger operators and scattering theory.Ann

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a58ba88-f76c-43dc-a6c8-a06174458981 · outbound

This paper cites and Weissler, B.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Weissler, B

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ce55f26-3ae2-4e07-bffc-78721d742cf0 · outbound

This paper cites and Tsai, T.-P.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Tsai, T.-P

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc45cb1b-a3ab-4a41-b8a3-f351a77b870a · outbound

This paper cites and Pusateri, F.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Pusateri, F

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ce18d82-981a-4ecf-a730-71c75f8b2a5e · outbound

This paper cites and Pusateri, F.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Pusateri, F

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fc1d4cf-9707-4f8e-87e9-79e043a11427 · outbound

This paper cites and Trubowitz, E.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Trubowitz, E

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29087b94-ad30-433f-981f-7cc7276a54a5 · outbound

This paper cites and Zhou, X.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Zhou, X

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 753f7794-203a-4c55-84fa-6af26ea6e4e8 · outbound

This paper cites and Zhou, X.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Zhou, X

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be99169c-b72d-45e9-91d2-16b2bbaee2c0 · outbound

This paper cites Modified scattering for odd solutions of cubic nonlinear Schrödinger equations with potential in dimension one.<hal−01396705>2016.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Modified scattering for odd solutions of cubic nonlinear Schrödinger equations with potential in dimension one.<hal−01396705>2016

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e72b6a0f-2c8d-488f-93a3-8abe78a17813 · outbound

This paper cites Zero energy scattering for one-dimensional Schrödinger operators and applications to dispersive estimates.Proc.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Zero energy scattering for one-dimensional Schrödinger operators and applications to dispersive estimates.Proc

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19e9bf0e-cf1d-45d7-8cd6-2a45787341ba · outbound

This paper cites and Teschl, G.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Teschl, G

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2238ef09-5430-4707-ac36-489f4e3cca25 · outbound

This paper cites and Rousset, F.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Rousset, F

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97f03e49-e640-47c4-b96a-9a27862ebd78 · outbound

This paper cites and Pusateri, F.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Pusateri, F

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ed232a1-b2e2-4f2e-baa1-c52cb27d0258 · outbound

This paper cites and Zhang, Z.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Zhang, Z

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c29f59c-23bf-4621-85ec-202246257669 · outbound

This paper cites an unresolved cited work.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3da738c5-fa75-4a27-85dd-4b40159a2dd1 · outbound

This paper cites and Schlag, W.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Schlag, W

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ab154fb-5772-4262-aa1d-57cdcf4ea5cd · outbound

This paper cites and Naumkin, P.I.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Naumkin, P.I

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 152c3fe0-ac15-4ea5-ab70-d1bf27232914 · outbound

This paper cites TheL2 boundedness of pseudodifferential operators.Trans.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension TheL2 boundedness of pseudodifferential operators.Trans

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 401f59fd-7c62-4364-8c09-861605a45a12 · outbound

This paper cites and Tataru, D.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Tataru, D

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cf90c42-7c0b-4394-8770-c05641a1d646 · outbound

This paper cites and Pusateri, F.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Pusateri, F

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46a2a32b-33d0-49db-a9ab-6b82d2d91d6b · outbound

This paper cites and Schlag, W.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Schlag, W

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a5af749-3292-4a27-b3ad-eba88db4367d · outbound

This paper cites and Schlag, W.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Schlag, W

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a88be265-c35d-498e-a923-cfc65f8209cb · outbound

This paper cites and Schlag, W.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Schlag, W

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a353a786-9713-4172-961f-ad6874d9660c · outbound

This paper cites and Muñoz, C.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Muñoz, C

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f5aff86-ff95-46db-8b27-ce3a364cb6bc · outbound

This paper cites and Van Den Bosch, H.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Van Den Bosch, H

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2a2de25-6db1-4368-9b43-5ec78ae01243 · outbound

This paper cites and Lifshitz, E.M.Course of theoretical physics, Vol.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Lifshitz, E.M.Course of theoretical physics, Vol

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 402af77b-56a4-4165-8345-970b0461526b · outbound

This paper cites and Soffer, A.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Soffer, A

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 399b6d2e-7226-402a-86dc-364067d5ff5c · outbound

This paper cites and Soffer, A.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Soffer, A

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 822b8130-4d9b-4e85-b903-549d6efd4dcc · outbound

This paper cites and Soffer, A.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Soffer, A

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62ec7b6c-b940-467f-b24f-c25bc2127c06 · outbound

This paper cites and Soffer, A.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Soffer, A

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d16c81de-244a-46d1-9f88-abeb582f1e2c · outbound

This paper cites Lewin,Théorie spectrale et mécanique quantique, Mathématiques et Applications, Springer International Publishing, 2022.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Lewin,Théorie spectrale et mécanique quantique, Mathématiques et Applications, Springer International Publishing, 2022

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 130c1938-b98a-405a-9425-55ecf883985f · outbound

This paper cites Asymptotic stability of the sine-Gordon kink under odd perturbations.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Asymptotic stability of the sine-Gordon kink under odd perturbations

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 275bf357-5417-4175-a75f-d59fe1f2e80e · outbound

This paper cites Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension.Nonlinearity33 (2020), no.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension.Nonlinearity33 (2020), no

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9621f818-25a6-43b5-af8a-7145ca4545d3 · outbound

This paper cites Murphy, J.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Murphy, J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb4b18e4-9167-4260-8399-8855165e1817 · outbound

This paper cites Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential.J.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential.J

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d68e38fe-d4cb-45d7-b971-33bc48f15ebd · outbound

This paper cites A review of modified scattering for the 1d cubic NLS.RIMS Kôkyûroku Bessatsu B88 (2021), 119–146.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension A review of modified scattering for the 1d cubic NLS.RIMS Kôkyûroku Bessatsu B88 (2021), 119–146

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21fca478-e5fa-428b-9b90-9c249bc0ec21 · outbound

This paper cites and Pusateri, F.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Pusateri, F

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b46d8414-3874-46cc-8d8a-a22e9a7b5798 · outbound

This paper cites Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential.J.Math.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential.J.Math

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eecb1682-1972-4770-a8e9-492542a23927 · outbound

This paper cites Nonlinear Schrödinger equations with exceptional potentials.J.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Nonlinear Schrödinger equations with exceptional potentials.J

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb63be4d-52eb-4b89-8eba-d3de1014afd7 · outbound

This paper cites and Simon, B.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension and Simon, B

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51d97796-8c0d-43af-b9c1-cbe9175d90ea · outbound

This paper cites Long range scattering for nonlinear Schrödinger equations in one space dimension.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Long range scattering for nonlinear Schrödinger equations in one space dimension

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cf3f533-9bf7-46cf-a0fa-207373734ca7 · outbound

This paper cites Dispersive estimates for Schrödinger operators: a survey.Mathematical aspects of nonlinear dispersive equations,255–285, Ann.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Dispersive estimates for Schrödinger operators: a survey.Mathematical aspects of nonlinear dispersive equations,255–285, Ann

Reference 42

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b7ceb23-df4a-431c-8016-7088d1a2f526 · outbound

This paper cites an unresolved cited work.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa26b851-58de-425a-809c-0b3ee18ae277 · outbound

This paper cites Solutions for the nonlinear Schrödinger equation and nonlinear groups.Funkcial.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Solutions for the nonlinear Schrödinger equation and nonlinear groups.Funkcial

Reference 44

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f5d274b-092c-4df4-b0e3-e9c9c1cab8d0 · outbound

This paper cites TheW k,p-continuity of the Schrödinger wave operators on the line.Comm.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension TheW k,p-continuity of the Schrödinger wave operators on the line.Comm

Reference 45

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73c2992a-576c-46cc-a4c5-ca5d5b7c71e7 · outbound

This paper cites an unresolved cited work.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ba32b81-85e4-4807-ac80-808499abcd4d · outbound

This paper cites Mathematical scattering theory.

Long time behavior of small solutions of NLS with non-generic potentials in one dimension Mathematical scattering theory

Reference 47

Resolution: unresolved; no resolver link, observed 2026-07-12T08:44:44.185738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.