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Paper Citation Record · LEDGER

On the optimal local well-posedness of the wave kinetic equation in $L^r$

As of 21 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 2 inbound Pith citation observations for arXiv:2511.15587.

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

pith.paper-citation-record.v1
2511.15587 v2

Coverage vector

measured 31 of 31 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T21:34:29.897081Z

measured 33 of 33 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T14:27:29.572048Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T06:41:44.498507Z

Reference resolution

31 of 31 outbound references displayed

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External citation measurements

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Outbound references

Observation 5f7deb75-37b9-4b30-80f2-81e467c23ccc · outbound

This paper cites Alonso, E.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Alonso, E

Reference 1

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Observation 284907e7-2954-4c14-8975-d06aff0a544d · outbound

This paper cites Alonso, E.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Alonso, E

Reference 2

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source=pdf_text observed=2026-08-03T21:34:27.126136Z digest=sha256:eae46ac9d2775bc81ac2f78caeaa97b4e8b0b7a4967d7a1cc8d8a08621b35c4d

Observation a5cf6318-ad1e-4d22-923b-d28707ab21ff · outbound

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

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Ampatzoglou,Global well-posedness of the inhomogeneous wave kinetic equation near vacuum, Kinet

Reference 3

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source=pdf_text observed=2026-08-03T21:34:27.211927Z digest=sha256:2aee604d4173b0bcc2c81f09edb8b4e6177f46aac73dd31218c451740c6271fb

Observation dfba94ac-fdc4-45f4-927e-f4b3187ed050 · outbound

This paper cites Global existence of strong solutions to the Inhomogeneous Kinetic Wave Equation.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Global existence of strong solutions to the Inhomogeneous Kinetic Wave Equation

Reference 4

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source=pdf_text observed=2026-08-03T21:34:27.285727Z digest=sha256:6004bd2863aa4a291ee4e7d324450a22ae3165210feb733a251cb3c7f6de69da

Observation 82c46e47-5281-4500-aefa-46f3f6cd3dbe · outbound

This paper cites Ampatzoglou, T.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Ampatzoglou, T

Reference 5

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source=pdf_text observed=2026-08-03T21:34:27.338388Z digest=sha256:d2b473470a05bd4d8581dd6a9af3287d58eae2d5ee56422f5c0a85eb0ac1f03a

Observation 96c186ee-a390-4ce9-94d3-0a71cb0f95ea · outbound

This paper cites Ampatzoglou, T.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Ampatzoglou, T

Reference 6

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source=pdf_text observed=2026-08-03T21:34:27.424114Z digest=sha256:5f3b7140c624aec7b0454cacb9eb002a82350a5ac74d9fe9fc744134f784f547

Observation d530629a-bca9-45ed-956f-4ab66caf29c5 · outbound

This paper cites Ampatzoglou, J.K.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Ampatzoglou, J.K

Reference 7

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source=pdf_text observed=2026-08-03T21:34:27.494957Z digest=sha256:720e0070d46b04318788fa79a2dc155c83d7508acbd019bf36e8c952501373e1

Observation 8dfef327-943b-4e2a-86b8-b188c500b958 · outbound

This paper cites Arsenio,On the global existence of mild solutions to the Boltzmann equation for small data inL D, Comm.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Arsenio,On the global existence of mild solutions to the Boltzmann equation for small data inL D, Comm

Reference 8

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source=pdf_text observed=2026-08-03T21:34:27.574906Z digest=sha256:029ea2a54cbf8e9b8dc03ff1a546785aa93b7ac419e9fb9768c53799319af4e7

Observation 61c90a0b-0a31-4958-8421-4c794fdb8734 · outbound

This paper cites Bobylev,Fourier transform method in the theory of the Boltzmann equation for Maxwellian molecules, Dokl.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Bobylev,Fourier transform method in the theory of the Boltzmann equation for Maxwellian molecules, Dokl

Reference 9

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source=pdf_text observed=2026-08-03T21:34:27.622085Z digest=sha256:d1fd9b594e6903c5c33f26034ad2aa3a61531f09a438805b915b54ef51581c3c

Observation 7849f2a9-994f-4d3d-8598-662f741a203b · outbound

This paper cites Bobylev,The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules, Sov.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Bobylev,The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules, Sov

Reference 10

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source=pdf_text observed=2026-08-03T21:34:27.683483Z digest=sha256:9729978593ccde3e5e37cfa59113778e0f0a0312d2b25b34ac7aa6819109ed82

Observation 3e4b0333-6ca1-42b6-81bb-01d4e981b356 · outbound

This paper cites Buckmaster, P.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Buckmaster, P

Reference 11

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source=pdf_text observed=2026-08-03T21:34:27.741594Z digest=sha256:3dedce2291f5ff513159a4b1c368279a9fb54d188c4151952f39fe377b4062d4

Observation 24d9da67-0b65-4f07-abe5-f79f4304c25c · outbound

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

On the optimal local well-posedness of the wave kinetic equation in $L^r$ On the derivation of the homogeneous kinetic wave equation

Reference 12

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source=pdf_text observed=2026-08-03T21:34:27.848958Z digest=sha256:fad6def22ee6ac5e7763470c9077196555499dc05f227a55002ec7640b1e85aa

Observation 49e52229-4c6f-4752-bea2-0fea38f1adde · outbound

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

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Derivation of the homogeneous kinetic wave equation: longer time scales

Reference 13

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source=pdf_text observed=2026-08-03T21:34:28.007256Z digest=sha256:e05e869084c9f635e26b1161f9e4c182fe6df282a4eb4b5ac3f0762c848c3be2

Observation 178a4f2e-7e5a-48c2-804e-9aad0ec564a2 · outbound

This paper cites Collot, H.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Collot, H

Reference 14

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source=pdf_text observed=2026-08-03T21:34:28.057222Z digest=sha256:eac7566d96ef5c84c81a1fee1a9a2f23609bd087c24ffec416166777aa7018d7

Observation b882fc40-05b6-4793-9b91-de27a7181517 · outbound

This paper cites an unresolved cited work.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-03T21:34:28.170899Z digest=sha256:773920192dc12f6c4e88147c6d444fa1392c0ea6b327cd605913cca97ad6e99d

Observation b6a2c499-e1e2-49f3-b9c8-6363501ad477 · outbound

This paper cites an unresolved cited work.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-03T21:34:28.282853Z digest=sha256:d9238a990dd07e9c9411b0fc0f5abef216cfa5ae05f8559ad01d49db232086e3

Observation a5bdec36-660b-4176-987c-ec4352858930 · outbound

This paper cites Long time justification of wave turbulence theory.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Long time justification of wave turbulence theory

Reference 17

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source=pdf_text observed=2026-08-03T21:34:28.417413Z digest=sha256:23dec20eb6d47c0a068d71944d63309f67e6a9b809a738794928d7804f40f06c

Observation ec3e3a49-8f9c-4981-b96a-f187c00e801c · outbound

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

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 18

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source=pdf_text observed=2026-08-03T21:34:28.529948Z digest=sha256:05161668d9213cb30b320a5562ede973d66d216d5c8d6958285c534c0ad65539

Observation f615c257-88ff-4b34-b4fe-88537d363ca1 · outbound

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

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Instability of singular equilibria of a wave kinetic equation

Reference 19

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Observation 5e5b4c68-6930-45c7-bdf4-dfaa1192b887 · outbound

This paper cites Escobedo, J.J.L.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Escobedo, J.J.L

Reference 20

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source=pdf_text observed=2026-08-03T21:34:28.777038Z digest=sha256:9aa010239017e2f137f1b92979d0ca674f1b72d0769adbec8ec0d4c389805423

Observation f66a3396-f015-45b0-8084-26652b02c0bc · outbound

This paper cites Germain, A.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Germain, A

Reference 21

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source=pdf_text observed=2026-08-03T21:34:28.884141Z digest=sha256:4a5ee0a4e0dbedcfd6f9b3bcc837b93a2d7512a367d02724d29c00361c5e0db5

Observation 81dd032a-71bb-4946-831f-3b982aad04b3 · outbound

This paper cites Gustafsson,L p-estimates for the nonlinear spatially homogeneous Boltzmann equation,Arch.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Gustafsson,L p-estimates for the nonlinear spatially homogeneous Boltzmann equation,Arch

Reference 22

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source=pdf_text observed=2026-08-03T21:34:28.998145Z digest=sha256:8fbb1b7956d1ae4be70a17be92b8e9e492cb328025f4f1186e5ac72ba29b4b35

Observation df358dd1-c6b5-4abc-ae35-3da5cdcc4c6b · outbound

This paper cites Gustafsson,GlobalL p-properties for the spatially homogeneous Boltzmann equation,Arch.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Gustafsson,GlobalL p-properties for the spatially homogeneous Boltzmann equation,Arch

Reference 23

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source=pdf_text observed=2026-08-03T21:34:29.107975Z digest=sha256:3d03e89ddb456c6139a5316102d4604101a9e2890cc12ccacbad0c5c84b8c91c

Observation dba47cf6-d183-43d3-9ad2-dcfeeb511bdc · outbound

This paper cites Hasselmann,On the non-linear energy transfer in a gravity-wave spectrum.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Hasselmann,On the non-linear energy transfer in a gravity-wave spectrum

Reference 24

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Observation 899fdae8-5077-47be-b1ee-eb5ac8f018a7 · outbound

This paper cites Hasselmann,On the non-linear energy transfer in a gravity wave spectrum.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Hasselmann,On the non-linear energy transfer in a gravity wave spectrum

Reference 25

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Observation b37f0a94-689f-48be-8dea-2b5158776d46 · outbound

This paper cites Illner, M.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Illner, M

Reference 26

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source=pdf_text observed=2026-08-03T21:34:29.470794Z digest=sha256:688f11028f18668b06a4738ab794fb0d0264a17bcc53a5a3821d5b5b97583e40

Observation cffe3a56-b2a7-4827-ba2b-9b9132db3316 · outbound

This paper cites Kaniel, M.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Kaniel, M

Reference 27

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Observation 71ace423-394e-418f-9653-fa6e9135502d · outbound

This paper cites Lanford,Time evolution of large classical systems, Lect.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Lanford,Time evolution of large classical systems, Lect

Reference 28

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source=pdf_text observed=2026-08-03T21:34:29.631689Z digest=sha256:a471e6b632461e1f1e3ca82f080067f35e4dbcceefefb5a4554be5885fdfc8c1

Observation 942ca086-e943-4a7e-b1bf-9316d8bdab24 · outbound

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

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Nazarenko,Wave turbulence, Lecture Notes in Physics,825

Reference 29

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source=pdf_text observed=2026-08-03T21:34:29.717305Z digest=sha256:88c50c68faee69d75d29062544254e3c2b115e772211f17556f92b7c2d4fb793

Observation 8d0db2ec-5d7d-420e-8ebb-9174f00667bd · outbound

This paper cites Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces

Reference 30

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Observation 3c9dab61-9b3f-4da8-a034-550c15587949 · outbound

This paper cites an unresolved cited work.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Unresolved cited work

Reference 31

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source=pdf_text observed=2026-08-03T21:34:29.897081Z digest=sha256:48c525851ef3850527329d233246feffabf8cf1b38b425ea7cb1cb88acda20e1

Pith citing papers

Observation 1385dc97-285c-4798-990f-b3a76f57b86c · inbound

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations cites this paper.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations On the optimal local well-posedness of the wave kinetic equation in $L^r$

Reference 3

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-12T04:02:02.745526Z digest=sha256:a8a258e2b672f1ede1b1e81d66fe675097f67c04017de7f38aaf57437f7643fd

Observation b022d139-7aa0-4fac-8dc8-3ca403039b02 · inbound

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations cites this paper.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations On the optimal local well-posedness of the wave kinetic equation in $L^r$

Reference 3

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source=pdf_text observed=2026-08-02T14:27:29.572048Z digest=sha256:6c2be988228bbfa9d6424e35bfd504352611dc7131a9cda92fbf0dc413f66e2c