Paper Citation Record · LEDGER

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2411.15069.

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

pith.paper-citation-record.v1
2411.15069 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:40:22.519721Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

25 of 25 outbound references displayed

verified exact0
verified fuzzy23
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3e7971a8-5a05-47eb-83e4-48e58ab5e5e6 · outbound

This paper cites Babin, Alexei A.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Babin, Alexei A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.748107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 382ac3c3-65e1-4058-8da2-cbfb55104c08 · outbound

This paper cites Sharp well-posedness and ill-posedness results for a quadratic non-linear Schr¨ odinger equation.J.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Sharp well-posedness and ill-posedness results for a quadratic non-linear Schr¨ odinger equation.J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T14:40:22.450094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9232111e-056c-481a-a147-739080964366 · outbound

This paper cites Bourgain.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Bourgain

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.733733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9f94b194-19e2-41cf-a9ea-131eb7045e7b · outbound

This paper cites Bourgain.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Bourgain

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.725459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d75ed047-512a-449b-bae6-b3234cd3688c · outbound

This paper cites Asy mptotics, frequency modulation, and low regularity ill- posedness for canonical defocusing equations.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Asy mptotics, frequency modulation, and low regularity ill- posedness for canonical defocusing equations

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.717056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a1587bbb-46f2-4d76-9edb-779edbfdc60b · outbound

This paper cites Colliander, M.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Colliander, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.708850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d0a541bb-5602-430a-8a4a-69045fb5799c · outbound

This paper cites Global smo othing for the periodic KdV evolution.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Global smo othing for the periodic KdV evolution

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.700587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d6283ef9-ca5f-49e9-ba5e-7a34ecc50e31 · outbound

This paper cites Burak Erdo˘ gan and Nikolaos Tzirakis.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Burak Erdo˘ gan and Nikolaos Tzirakis

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.692453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c7201548-a3fe-45aa-af9c-0e7bd2e4ba66 · outbound

This paper cites Burak Erdo˘ gan, T.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Burak Erdo˘ gan, T

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.684209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 50412713-cd02-4511-9848-f32e963d2357 · outbound

This paper cites Ginibre, Y.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Ginibre, Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.676061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ace18e04-4f2e-4f61-b422-ab7387ad906e · outbound

This paper cites Kappeler and P.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Kappeler and P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.666963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9331442b-3dd3-47d9-8ed4-c7d64d3115e2 · outbound

This paper cites Low regularity well-posedness for the p eriodic Kawahara equation.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Low regularity well-posedness for the p eriodic Kawahara equation

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.659090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b283f25b-5195-4b70-96ef-664189d093c2 · outbound

This paper cites Cancellation proper ties and unconditional well-posedness for the ﬁfth order KdV type equations with periodic boundary condition.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Cancellation proper ties and unconditional well-posedness for the ﬁfth order KdV type equations with periodic boundary condition

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.651068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3427493f-6a07-4c48-abed-3f43bb2b31bf · outbound

This paper cites Kenig, Gustavo Ponce, and Luis V ega.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Kenig, Gustavo Ponce, and Luis V ega

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.642936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dbc2c4dc-7f15-4caa-9cb5-40ad0ef53f7e · outbound

This paper cites Well-posedness for the non-integrabl e periodic ﬁfth order KdV in Bourgain spaces.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Well-posedness for the non-integrabl e periodic ﬁfth order KdV in Bourgain spaces

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.634171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2911ad80-29f9-427a-9c33-b59fdc900d93 · outbound

This paper cites an unresolved cited work.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:40:22.625272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a43ba3d6-82ac-441e-ae42-a00f7b477b2c · outbound

This paper cites Sharp ill-posedness results for the KdV an d mKdV equations on the torus.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Sharp ill-posedness results for the KdV an d mKdV equations on the torus

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.617031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c4909712-926f-4d25-ad73-fc6173a011f8 · outbound

This paper cites L ocal well-posedness in low regularity of the mKdV equa- tion with periodic boundary condition.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ L ocal well-posedness in low regularity of the mKdV equa- tion with periodic boundary condition

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.608267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f2145c25-0705-4f51-beac-e09089f25aa5 · outbound

This paper cites Resonant phase-shift and global smoothing of the periodic Korteweg-de Vries equation in low regu- larity settings.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Resonant phase-shift and global smoothing of the periodic Korteweg-de Vries equation in low regu- larity settings

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.599561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a880a7aa-6712-417f-96b0-d330708aac22 · outbound

This paper cites Stefanov.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Stefanov

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.590431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d31b21c7-34e5-492e-8407-2e06e6e3340d · outbound

This paper cites On strichartz estimates from ℓ2-decoupling and applications.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ On strichartz estimates from ℓ2-decoupling and applications

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.581150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3e9ce572-8c0d-4810-970a-d800ec8aacc5 · outbound

This paper cites Normal forms and quadratic nonlinear Kle in-Gordon equations.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Normal forms and quadratic nonlinear Kle in-Gordon equations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.572083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e86cdbd6-0b33-4fde-8306-d4213543b044 · outbound

This paper cites Nonlinear smoothing for the periodic di spersion generalized benjamin-ono equations with polyno- mial nonlinearity, 2024.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Nonlinear smoothing for the periodic di spersion generalized benjamin-ono equations with polyno- mial nonlinearity, 2024

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.562971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 58fd08b1-32f6-446c-ac9b-063056f4cfc7 · outbound

This paper cites Well-posedness of t he Cauchy problem for the modiﬁed KdV equation with periodic boundary condition.

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Well-posedness of t he Cauchy problem for the modiﬁed KdV equation with periodic boundary condition

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.553757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4d17d22b-57d6-46e5-89d5-89612aaa5b0d · outbound

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

On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below $H^{-\frac{1}{2}}(\mathbb{T})$ Nonlinear dispersive equations , volume 106 of CBMS Regional Conference Series in Mathematics

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:40:22.544408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

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