Paper Citation Record · LEDGER

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities

As of 23 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2412.11808.

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

pith.paper-citation-record.v1
2412.11808 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:47:01.714103Z

measured 31 of 31 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:36:37.229570Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T14:36:37.757119Z

Reference resolution

30 of 30 outbound references displayed

verified exact0
verified fuzzy25
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e9d4c633-9427-4daa-a6df-37172d3f309d · outbound

This paper cites an unresolved cited work.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:47:02.606491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ec73b863-36f5-4d60-9324-e15beac60fa1 · outbound

This paper cites an unresolved cited work.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:47:02.572636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 69bc114b-5452-41f7-b78b-90b945d9ec05 · outbound

This paper cites Bourgain.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Bourgain

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.542469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4f9e71f0-6970-4ac0-bdb9-a7536ae59e01 · outbound

This paper cites Bourgain.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Bourgain

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.513476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3e8d5588-72f4-47aa-a2b1-c3a99a630099 · outbound

This paper cites Semilinear Schrödinger equations, volume 10 of Courant Lecture Notes in Mathematics.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Semilinear Schrödinger equations, volume 10 of Courant Lecture Notes in Mathematics

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.491490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 09e7feed-3515-4c7c-b284-af04fd25d6a8 · outbound

This paper cites W eissler.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities W eissler

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.465795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4c5189df-f732-4a50-9cf1-a68e387231ce · outbound

This paper cites Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency-restricted estim ates.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency-restricted estim ates

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.438983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 50930dad-b541-4716-a70d-cb6bd6aac316 · outbound

This paper cites Burak Erdoğan, T.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Burak Erdoğan, T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.416239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3bcc7b02-2cc4-4783-9b77-9d36e19a1529 · outbound

This paper cites Burak Erdoğan and Nikolaos Tzirakis.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Burak Erdoğan and Nikolaos Tzirakis

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.399055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 509ed702-9c7a-4d6c-8663-ea63f560b472 · outbound

This paper cites Burak Erdoğan and Nikolaos Tzirakis.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Burak Erdoğan and Nikolaos Tzirakis

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.372332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation df2b08c3-03a1-43b0-b00c-712c1eaa1c1b · outbound

This paper cites A remark on the modiﬁed Zakharov-Kuznet sov equation in three space dimensions.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities A remark on the modiﬁed Zakharov-Kuznet sov equation in three space dimensions

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.341931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7eab34f3-93cf-4144-83c4-9dcc4616fcb8 · outbound

This paper cites The Fourier restrict ion norm method for the Zakharov-Kuznetsov equation.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities The Fourier restrict ion norm method for the Zakharov-Kuznetsov equation

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.312016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1585cc8a-99f8-4197-8de0-3098203b3a40 · outbound

This paper cites On the generalized zakharov-kuznetsov equation at critical regularity.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities On the generalized zakharov-kuznetsov equation at critical regularity

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.288376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9a3da697-d2db-465a-93e3-23eb06c019e0 · outbound

This paper cites The analysis of linear partial diﬀerential operators.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities The analysis of linear partial diﬀerential operators

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.269275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b8af57fb-9542-427b-9d21-8675d10829d6 · outbound

This paper cites Pedro Isaza, L.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Pedro Isaza, L

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.220699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4b946ad7-2f84-420f-9017-edd677011a04 · outbound

This paper cites Polynomial bound and nonlinear smoothing for the Benjamin-Ono equation on the circle.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Polynomial bound and nonlinear smoothing for the Benjamin-Ono equation on the circle

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.195732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ff5e414f-3ec0-4e8c-8698-64eb4ec222c9 · outbound

This paper cites On nonlinear Schrödinger equations.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities On nonlinear Schrödinger equations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.171632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 25e7a8e5-ae12-404b-8b39-b3c2acc065fe · outbound

This paper cites Kenig, Gustavo Ponce, and Luis Vega.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Kenig, Gustavo Ponce, and Luis Vega

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.147429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f1e1e0c9-6a1d-40d4-927a-c4470f8dc035 · outbound

This paper cites A smoothing property for t he L2-critical NLS equations and an application to blowup theory.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities A smoothing property for t he L2-critical NLS equations and an application to blowup theory

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.121536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6c134fea-9fed-437a-925d-6561a1324051 · outbound

This paper cites W ell-posedness for the Cauchy probl em of the modiﬁed Zakharov-Kuznetsov equation.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities W ell-posedness for the Cauchy probl em of the modiﬁed Zakharov-Kuznetsov equation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.101530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2782795d-cfba-466e-b6b1-bb1c12c492a7 · outbound

This paper cites Dispersive blow-up for solutions of the Zakharov-Kuznets ov equation.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Dispersive blow-up for solutions of the Zakharov-Kuznets ov equation

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.063039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 75d601f8-7dee-48de-8bd0-82faab28734e · outbound

This paper cites Introduction to nonlinear dispersive equations.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Introduction to nonlinear dispersive equations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:02.025154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 41fac9f3-2c21-4558-a648-a693609bdd77 · outbound

This paper cites an unresolved cited work.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:47:01.992476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 62121ad8-1eb2-4ee7-b76a-b3d1955f1dcb · outbound

This paper cites an unresolved cited work.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:47:01.959430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 84165ac9-de8b-4302-ab12-75f59606f8be · outbound

This paper cites On the smoothing pro perties of solutions to the modiﬁed Korteweg-de Vries equation.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities On the smoothing pro perties of solutions to the modiﬁed Korteweg-de Vries equation

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:01.915326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 212a8847-8624-4c78-afe3-70fd3076a67d · outbound

This paper cites Critical point theory and Hamiltonian systems , volume 74 of Applied Mathematical Sciences.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Critical point theory and Hamiltonian systems , volume 74 of Applied Mathematical Sciences

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:01.880911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 63b2b9d2-5114-4378-be85-1d251cd9a315 · outbound

This paper cites Solutions of semilinear Schrödinger e quations in H s.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Solutions of semilinear Schrödinger e quations in H s

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:01.851842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9b27a17b-5450-4de5-a359-24ac80a5cd3b · outbound

This paper cites A note on the Cauchy p roblem for the 2D generalized Zakharov-Kuznetsov equations.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities A note on the Cauchy p roblem for the 2D generalized Zakharov-Kuznetsov equations

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:01.820688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c37877b1-d426-41c1-b46e-c2f35677b33d · outbound

This paper cites Nonlinear dispersive equations , volume 106 of CBMS Regional Conference Series in Mathematics.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Nonlinear dispersive equations , volume 106 of CBMS Regional Conference Series in Mathematics

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:47:01.792103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 073b1521-c8ab-4511-ba53-d6b25bcc8ae3 · outbound

This paper cites an unresolved cited work.

Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities Unresolved cited work

Reference 2007

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:47:02.241944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation fe0422b7-534e-46b1-94cd-2edadd40d51d · inbound

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ cites this paper.

Low regularity analysis of the Zakharov--Kuznetsov equation on $\mathbb{R} \times \mathbb{T}$ Sharp local existence and nonlinear smoothing for dispersive equations with higher-order nonlinearities

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-09T14:36:37.763080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.