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Paper Citation Record · LEDGER

Local existence of strong solutions to the capillary wave kinetic equation

As of 21 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.04263.

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pith.paper-citation-record.v1
2607.04263 v1

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measured 23 of 23 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-11T20:32:44.676884Z

measured 23 of 23 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

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23 of 23 outbound references displayed

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Outbound references

Observation 2b1a233c-8afa-4228-8534-54986ada6392 · outbound

This paper cites The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature.

Local existence of strong solutions to the capillary wave kinetic equation The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature

Reference 1

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:72dc845ae45106101a62339370faa1bee26805f4d2dd57f15050bc08944c08e9

Observation 0e666c80-2fe2-4935-8e17-686a76764203 · outbound

This paper cites On the derivation of the wave kinetic equation for nls.

Local existence of strong solutions to the capillary wave kinetic equation On the derivation of the wave kinetic equation for nls

Reference 2

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:4bd966ae3f4d8942089f2bc78e4fa95c5161318a5cfeb60b72ab689db4d46de5

Observation e917bf02-cdcc-427d-84ae-c30873fa60a9 · outbound

This paper cites Full derivation of the wave kinetic equation.

Local existence of strong solutions to the capillary wave kinetic equation Full derivation of the wave kinetic equation

Reference 3

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:360cb6473e2338ed23cc542f42da2c484623f0e6b789c750d86556a05a6453dd

Observation 16c5bfcd-86c1-4388-a022-bf9404b46896 · outbound

This paper cites Long time justification of wave turbulence theory.

Local existence of strong solutions to the capillary wave kinetic equation Long time justification of wave turbulence theory

Reference 4

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:5b6a63dd8e765227316061d5aa10f862d62a8457771addf104cae7be5a22665c

Observation 0ebe8c42-791c-4d97-9cdf-b79a061a8605 · outbound

This paper cites Convergence to equilibrium of a linearized quantum boltzmann equation for bosons at very low temperature.

Local existence of strong solutions to the capillary wave kinetic equation Convergence to equilibrium of a linearized quantum boltzmann equation for bosons at very low temperature

Reference 5

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:cf8a5b23a0aa14b5de7a1d919d73c800b1985c07043e005ed8313f501b7976d1

Observation 0903669b-62d6-40fb-a04d-d026840f19fd · outbound

This paper cites Partial differential equations , volume 19.

Local existence of strong solutions to the capillary wave kinetic equation Partial differential equations , volume 19

Reference 6

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Observation 0f4d2078-5b29-4fc5-9b7f-e30424f02dbf · outbound

This paper cites On the non-linear energy transfer in a gravity-wave spectrum part 1.

Local existence of strong solutions to the capillary wave kinetic equation On the non-linear energy transfer in a gravity-wave spectrum part 1

Reference 7

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:4ee5b27a7c9b6667583066021a281e29dd1288da5db2b1a6b57c43d7d63fa711

Observation df4dd4af-5ad0-479e-999c-07a04739728d · outbound

This paper cites Wave turbulence in quantum fluids.

Local existence of strong solutions to the capillary wave kinetic equation Wave turbulence in quantum fluids

Reference 8

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:3ea45b2d060dc9d8291b542bc4c7aa1e592d0fada76a8f95821eacc533e08d92

Observation 9479bd65-dfe5-459b-adde-3d13b745b10c · outbound

This paper cites Wave turbulence , volume 825.

Local existence of strong solutions to the capillary wave kinetic equation Wave turbulence , volume 825

Reference 9

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:bae7a213832d1b50834b24730f0f89ae49110e107ab9a3bf66df774a7970d8fc

Observation 236c0bea-f0a0-48b9-8390-c28c175c0618 · outbound

This paper cites On the kinetic equation in zakharov's wave turbulence theory for capillary waves.

Local existence of strong solutions to the capillary wave kinetic equation On the kinetic equation in zakharov's wave turbulence theory for capillary waves

Reference 10

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:10326cc67b9ffbba3f05b6af4ddaeb5303b34a2c742299a0ec91a1dc3bf58622

Observation 1ddfcaa7-7639-4486-b204-333142d0f3b2 · outbound

This paper cites Uniform in time lower bound for solutions to a quantum boltzmann equation of bosons.

Local existence of strong solutions to the capillary wave kinetic equation Uniform in time lower bound for solutions to a quantum boltzmann equation of bosons

Reference 11

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Observation 065a019a-064f-4c84-bddd-27fb2afb5138 · outbound

This paper cites Understanding of weak turbulence of capillary waves.

Local existence of strong solutions to the capillary wave kinetic equation Understanding of weak turbulence of capillary waves

Reference 12

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:cb0dee803b0effed6b01c77f4895759b6f750a6f68d6dae00a4da70a0b3fd562

Observation 4e52e0af-86ba-433d-a63d-96adba3acf6a · outbound

This paper cites Semigroups of linear operators and applications to partial differential equations.

Local existence of strong solutions to the capillary wave kinetic equation Semigroups of linear operators and applications to partial differential equations

Reference 13

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:6d1310db5820d5902b81e9ad4bdbed1db983a6328a863cfb51ef75f8e4588fc2

Observation 4334ec66-97b4-4e05-94f5-463936d1c0af · outbound

This paper cites Zur kinetischen theorie der w \"a rmeleitung in kristallen.

Local existence of strong solutions to the capillary wave kinetic equation Zur kinetischen theorie der w \"a rmeleitung in kristallen

Reference 14

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:ffb4b0edcaae49876a7bf7b341621fc81b0729af90a98606faafa82c99737de7

Observation 4a8459fe-f6b4-4f6c-8df0-5745663b3f94 · outbound

This paper cites Quantum theory of solids.

Local existence of strong solutions to the capillary wave kinetic equation Quantum theory of solids

Reference 15

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:df6aa8c93dc2b1d72606b176b8fe5c35e18e43508f5e24d04856322ba39b4b93

Observation 3040b48e-6c1b-4091-9012-c975b498a762 · outbound

This paper cites Local-in-time existence of l^ 1 solutions to the gravity water wave kinetic equation.

Local existence of strong solutions to the capillary wave kinetic equation Local-in-time existence of l^ 1 solutions to the gravity water wave kinetic equation

Reference 16

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:8ef8f8f74f552744614aada38a2b495535e3243e03be8310b5340726f8006ad0

Observation 36ec8d9a-fbca-48f0-919e-9cc1b7f46ca7 · outbound

This paper cites Direct numerical investigation of turbulence of capillary waves.

Local existence of strong solutions to the capillary wave kinetic equation Direct numerical investigation of turbulence of capillary waves

Reference 17

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:a38f62e07df43b5283918c6cde9634b83a5fc1dee96afc646ca248519daf6a52

Observation 1978f43c-a98d-40b9-b773-387326d10e05 · outbound

This paper cites Turbulence of capillary wavestheory and numerical simulation.

Local existence of strong solutions to the capillary wave kinetic equation Turbulence of capillary wavestheory and numerical simulation

Reference 18

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:08454a6d9d67aaae4b58d011d2e90db7abdc499286cd2e059489855b3e80142f

Observation 113073d6-0a7b-4eb0-b43e-69098af43ebb · outbound

This paper cites Collapse of langmuir waves.

Local existence of strong solutions to the capillary wave kinetic equation Collapse of langmuir waves

Reference 19

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:eeba8e2a67a4878dd43f9c9f808d1bd474de1657fb40a45deba6a5cba222e4a1

Observation 979c9245-00aa-48bc-bdd8-b7df802cb7e1 · outbound

This paper cites Weak turbulence in media with a decay spectrum.

Local existence of strong solutions to the capillary wave kinetic equation Weak turbulence in media with a decay spectrum

Reference 20

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:9c450c751e4bba3f5be908fbc0b29601b64b3942839ddfcbca6f2a5ed0bf4aa1

Observation 03905f3e-5e0b-470d-a6b2-34485309c3f3 · outbound

This paper cites Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid.

Local existence of strong solutions to the capillary wave kinetic equation Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid

Reference 21

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:f506530c17709736123ba1ffd58b92961dcd211e22e773e5e76d007e8c42023e

Observation 8e5f9cae-4b65-4e72-ab37-495db7974ecf · outbound

This paper cites Weak turbulence of capillary waves.

Local existence of strong solutions to the capillary wave kinetic equation Weak turbulence of capillary waves

Reference 22

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:355c2de885117fc5225b66489fc32b67924161b4fa4a6fdb86181b6631631054

Observation 36e0962e-e163-483c-8474-243721270ae3 · outbound

This paper cites Kolmogorov spectra of turbulence I: Wave turbulence.

Local existence of strong solutions to the capillary wave kinetic equation Kolmogorov spectra of turbulence I: Wave turbulence

Reference 23

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