Paper Citation Record · LEDGER

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya

As of 19 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2606.29993.

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

pith.paper-citation-record.v1
2606.29993 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T05:43:44.150385Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

31 of 31 outbound references displayed

verified exact1
verified fuzzy0
unresolved30
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 16bf1092-8e19-4fa3-a478-7a01cd87b02d · outbound

This paper cites The proof of the ^2 decoupling conjecture.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya The proof of the ^2 decoupling conjecture

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b6fba30-02f5-4b0c-b7db-6da35f2aa25a · outbound

This paper cites A brief introduction to the mathematics of Landau damping.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya A brief introduction to the mathematics of Landau damping

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-06-30T13:54:44.324889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 14ff1e6c-8ebc-4081-bfc7-62b1fa0899e8 · outbound

This paper cites o ran Bergh and J\.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya o ran Bergh and J\

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18e4f425-b6cf-4843-a0bb-b539e601db1e · outbound

This paper cites Landau damping: paraproducts and G evrey regularity.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Landau damping: paraproducts and G evrey regularity

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cadc5bfd-1c5a-4d22-8c19-d21382d86390 · outbound

This paper cites Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b14cefa-c16e-4647-9976-ac632747e569 · outbound

This paper cites Estimates for the k -plane transform.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Estimates for the k -plane transform

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88b69dc0-c087-429e-a985-1029995aaa99 · outbound

This paper cites The K akeya maximal function and the spherical summation multipliers.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya The K akeya maximal function and the spherical summation multipliers

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a0b8655-f73b-4aab-9508-3ae2fc36e9d7 · outbound

This paper cites Estimations de S trichartz pour les équations de transport cinétique.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Estimations de S trichartz pour les équations de transport cinétique

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77fa461e-7bdc-4b66-ae94-c0660c294e93 · outbound

This paper cites an unresolved cited work.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcba67cd-f8f9-4f6d-95e5-baf0ef0f70ff · outbound

This paper cites Regularity of the moments of the solution of a transport equation.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Regularity of the moments of the solution of a transport equation

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 437f8967-5f37-4718-abe7-8bbafaf64858 · outbound

This paper cites Endpoint S trichartz estimate for the kinetic transport equation in one dimension.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Endpoint S trichartz estimate for the kinetic transport equation in one dimension

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3d9fb79-1fda-4388-9cde-6b06e7f7dbe4 · outbound

This paper cites Classical Fourier Analysis (2nd ed.).

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Classical Fourier Analysis (2nd ed.)

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a558a8a0-4653-4d75-814c-58544a70ae82 · outbound

This paper cites Velocity averaging in L^1 for the transport equation.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Velocity averaging in L^1 for the transport equation

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19f156e8-9fd1-4da7-ae15-f74a4200e4e4 · outbound

This paper cites o rmander. Oscillatory integrals and multipliers on FL^p . Arkiv f \.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya o rmander. Oscillatory integrals and multipliers on FL^p . Arkiv f \

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56b3889f-abaa-4a19-a359-7e5900957281 · outbound

This paper cites On l(p, q) spaces.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya On l(p, q) spaces

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c452bb2-94f4-43ac-92aa-0cae5be21e52 · outbound

This paper cites Endpoint S trichartz estimates.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Endpoint S trichartz estimates

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64cb167d-1810-4a83-a335-007f79871232 · outbound

This paper cites An X -ray transform estimate in R ^n.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya An X -ray transform estimate in R ^n

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50d75fb7-f5c8-4940-a8f5-08eef626b5fe · outbound

This paper cites Fourier analysis and Hausdorff dimension , volume 150.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Fourier analysis and Hausdorff dimension , volume 150

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0768d7a3-6a1f-4960-b3c2-937a8fadc080 · outbound

This paper cites On L andau damping.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya On L andau damping

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc8a7e0e-76d5-4d9e-af55-22d9f33bcfaa · outbound

This paper cites Two bounds for the X -ray transform.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Two bounds for the X -ray transform

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab6e745e-eab6-49e1-8202-b5d310d418f5 · outbound

This paper cites Convolution operators and l(p,q) spaces.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Convolution operators and l(p,q) spaces

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01b6c206-de65-4c6d-aeb0-db7a29f04e51 · outbound

This paper cites Oberlin and Elias M.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Oberlin and Elias M

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c53635ea-5780-4df2-917d-e893a99bc0a0 · outbound

This paper cites Kinetic formulation of conservation laws , volume 21.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Kinetic formulation of conservation laws , volume 21

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1dfd9d7-7470-40a9-b5d1-808877b4ddfd · outbound

This paper cites Mathematical tools for kinetic equations.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Mathematical tools for kinetic equations

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27819392-0d24-4004-9d3a-e35de7a700d1 · outbound

This paper cites The H artree equation for infinite quantum systems.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya The H artree equation for infinite quantum systems

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f11f5d9-356b-44f8-a3a0-21333bddc4f5 · outbound

This paper cites Dispersion and S trichartz estimates for the L iouville equation.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Dispersion and S trichartz estimates for the L iouville equation

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4785e75b-e0cf-46ab-99b4-b647c113b635 · outbound

This paper cites Restrictions of F ourier transforms to quadratic surfaces and decay of solutions of wave equations.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Restrictions of F ourier transforms to quadratic surfaces and decay of solutions of wave equations

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc809620-7a8d-4903-8714-4824f84f2897 · outbound

This paper cites 247b, notes 1: Restriction theory.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya 247b, notes 1: Restriction theory

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64be5ba9-4a99-46dd-88f9-a3d3e9700cde · outbound

This paper cites Interpolation Theory, Function Spaces, Differential Operators.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Interpolation Theory, Function Spaces, Differential Operators

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 101c38b9-c679-4f97-95d5-93d75a56fdb1 · outbound

This paper cites Math 247a lecture notes: Classical Fourier analysis.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Math 247a lecture notes: Classical Fourier analysis

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e390e35d-357d-4ea7-b161-a83c3d21b873 · outbound

This paper cites an unresolved cited work.

Strichartz Estimates for the Liouville Equation on Euclidean Tori and Applications to Kakeya Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-30T05:43:44.150385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.