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Paper Citation Record · LEDGER

On the ill-posedness of kinetic wave equations

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2411.12868.

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pith.paper-citation-record.v1
2411.12868 v2

Coverage vector

measured 29 of 29 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T17:19:09.994047Z

measured 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

29 of 29 outbound references displayed

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External citation measurements

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Outbound references

Observation bc9e6384-b044-42f6-830b-966d7eb1158d · outbound

This paper cites Ampatzoglou, Global well-posedness of the inhomogeneous kinetic wave eq uation near vacuum , Kinet.

On the ill-posedness of kinetic wave equations Ampatzoglou, Global well-posedness of the inhomogeneous kinetic wave eq uation near vacuum , Kinet

Reference 1

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Observation e653061c-c186-424f-90f4-3a9a73d3cd16 · outbound

This paper cites Ampatzoglou, C.

On the ill-posedness of kinetic wave equations Ampatzoglou, C

Reference 2

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Observation 35ac0d07-c0ed-468b-a57e-eb50fc688502 · outbound

This paper cites Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted $L^\infty$ spaces.

On the ill-posedness of kinetic wave equations Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted $L^\infty$ spaces

Reference 3

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Observation 92edeece-bd30-4996-873f-8d84efe56c08 · outbound

This paper cites Ampatzoglou, T.

On the ill-posedness of kinetic wave equations Ampatzoglou, T

Reference 4

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Observation 65fc449d-196a-45fc-b3ba-2f37c96257a9 · outbound

This paper cites B´ enyi, T.

On the ill-posedness of kinetic wave equations B´ enyi, T

Reference 5

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Observation 999562f7-d72d-44f5-8cab-8d65120c2257 · outbound

This paper cites Buckmaster, P.

On the ill-posedness of kinetic wave equations Buckmaster, P

Reference 6

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Observation 10226612-5af5-4e79-b47a-884392f27535 · outbound

This paper cites an unresolved cited work.

On the ill-posedness of kinetic wave equations Unresolved cited work

Reference 7

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Observation c7ff3142-6b1e-4130-a297-d44eec9dccf6 · outbound

This paper cites Collot, H.

On the ill-posedness of kinetic wave equations Collot, H

Reference 8

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Observation ed9ea232-555a-4fb3-818e-10929dfdea30 · outbound

This paper cites On the derivation of the homogeneous kinetic wave equation.

On the ill-posedness of kinetic wave equations On the derivation of the homogeneous kinetic wave equation

Reference 9

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Observation 4facf370-44ba-4b4e-988f-eeea43886c4b · outbound

This paper cites Derivation of the homogeneous kinetic wave equation: longer time scales.

On the ill-posedness of kinetic wave equations Derivation of the homogeneous kinetic wave equation: longer time scales

Reference 10

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Observation 01f783a7-f517-44a6-bbe6-7841c79bc2ef · outbound

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On the ill-posedness of kinetic wave equations Unresolved cited work

Reference 11

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Observation aad43dac-fd6a-4fe8-b678-c4a4b3094320 · outbound

This paper cites an unresolved cited work.

On the ill-posedness of kinetic wave equations Unresolved cited work

Reference 12

Resolution
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Observation b422bc37-06ac-43d7-ba84-868e7dbb528f · outbound

This paper cites Long time justification of wave turbulence theory.

On the ill-posedness of kinetic wave equations Long time justification of wave turbulence theory

Reference 13

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Observation 79df889f-7501-456a-a619-54bf28fb90cb · outbound

This paper cites Long time derivation of the Boltzmann equation from hard sphere dynamics.

On the ill-posedness of kinetic wave equations Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 14

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Observation 17972ffc-c192-47c2-b551-662fb759918e · outbound

This paper cites Instability of singular equilibria of a wave kinetic equation.

On the ill-posedness of kinetic wave equations Instability of singular equilibria of a wave kinetic equation

Reference 15

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Observation b07017f0-d031-40c3-bcc3-c06aaf5d8049 · outbound

This paper cites Escobedo, J.J.L.

On the ill-posedness of kinetic wave equations Escobedo, J.J.L

Reference 16

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Observation d9e61155-2f04-49bc-9fb5-138d27e05879 · outbound

This paper cites Faou, Linearized Wave Turbulence Convergence Results for Three- Wave Systems , Volume 378, pages 807–849, (2020).

On the ill-posedness of kinetic wave equations Faou, Linearized Wave Turbulence Convergence Results for Three- Wave Systems , Volume 378, pages 807–849, (2020)

Reference 17

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Observation 76b85ba8-4470-481f-b9b3-319b43fcac47 · outbound

This paper cites Germain, A.

On the ill-posedness of kinetic wave equations Germain, A

Reference 18

Resolution
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Observation 4319834c-f4de-475b-acde-209270f1b8c2 · outbound

This paper cites Local Well-posedness for the Kinetic MMT Model.

On the ill-posedness of kinetic wave equations Local Well-posedness for the Kinetic MMT Model

Reference 19

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On the ill-posedness of kinetic wave equations Unresolved cited work

Reference 20

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Observation 1e766306-f7ce-43f2-a71c-4f1915f0de17 · outbound

This paper cites On the wave turbulence theory for a stochastic KdV type equation -- Generalization for the inhomogeneous kinetic limit.

On the ill-posedness of kinetic wave equations On the wave turbulence theory for a stochastic KdV type equation -- Generalization for the inhomogeneous kinetic limit

Reference 21

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Observation 82bf1852-3965-43b0-a429-5d87c5d23c83 · outbound

This paper cites Kenig, G.

On the ill-posedness of kinetic wave equations Kenig, G

Reference 22

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Observation 5227e09f-dd3a-457e-b938-e1c76b67a4b9 · outbound

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On the ill-posedness of kinetic wave equations Kenig, G

Reference 23

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Observation 1e1ed722-6247-4edd-9c11-9a171d7304b5 · outbound

This paper cites Almost sharp wave kinetic theory of multidimensional KdV type equations with $d\ge 3$.

On the ill-posedness of kinetic wave equations Almost sharp wave kinetic theory of multidimensional KdV type equations with $d\ge 3$

Reference 24

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Observation 421341bc-4e42-464a-af9b-3906990e7c52 · outbound

This paper cites Majda, D.W.

On the ill-posedness of kinetic wave equations Majda, D.W

Reference 25

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Observation 48270fc9-1d43-4615-9909-c72aa465a6f4 · outbound

This paper cites Menegaki, L2-stability near equilibrium for the 4 waves kinetic equatio n, Kinet.

On the ill-posedness of kinetic wave equations Menegaki, L2-stability near equilibrium for the 4 waves kinetic equatio n, Kinet

Reference 26

Resolution
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Observation f7f2056a-9b19-4397-b745-57d2e8dadffb · outbound

This paper cites Nazarenko, Wave turbulence, Lecture Notes in Physics, 825.

On the ill-posedness of kinetic wave equations Nazarenko, Wave turbulence, Lecture Notes in Physics, 825

Reference 27

Resolution
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Observation 51816929-6540-4c17-a4bd-0dc88501a9a5 · outbound

This paper cites On the wave turbulence theory for a stochastic KdV type equation.

On the ill-posedness of kinetic wave equations On the wave turbulence theory for a stochastic KdV type equation

Reference 28

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 265cb9de-8c35-4425-b48a-a0026e75d05f · outbound

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On the ill-posedness of kinetic wave equations Unresolved cited work

Reference 29

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