Paper Citation Record · LEDGER

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces

As of 12 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2608.04621.

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

pith.paper-citation-record.v1
2608.04621 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:41:13.986514Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

29 of 29 outbound references displayed

verified exact12
verified fuzzy12
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8a8eb37b-209d-4528-a9b1-5e1642205f21 · outbound

This paper cites Crispo and P.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Crispo and P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:18.711427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1282149e-1fa6-4578-8c69-28bc1b61cdbf · outbound

This paper cites Crispo and P.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Crispo and P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:18.512955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6613b60b-fa40-47dc-90ec-d93efc20f99e · outbound

This paper cites an unresolved cited work.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:41:18.351638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3b69341f-fd68-4f8e-82d6-560701fc8918 · outbound

This paper cites Farwig, H.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Farwig, H

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:18.247812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 71fc0e0a-e250-49bc-8e0c-5859e5baf640 · outbound

This paper cites Farwig, K.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Farwig, K

Reference 5

Resolution: verified exact; doi, observed 2026-08-06T20:41:16.377423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 63d1b5bd-33c5-4ae3-81e4-cb10d7809af4 · outbound

This paper cites Foias, Une remarque sur l’unicit´ e des solutions des ´ equations de Navier-Stokes en dimensionn.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Foias, Une remarque sur l’unicit´ e des solutions des ´ equations de Navier-Stokes en dimensionn

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:18.140339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 71dc9af0-d126-4703-b4d8-d049296f8e96 · outbound

This paper cites Fr¨ ohlich,The Stokes Operator in WeightedL q-Spaces I: Weighted Estimates for the Stokes Resolvent Problem in a Half Space, J.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Fr¨ ohlich,The Stokes Operator in WeightedL q-Spaces I: Weighted Estimates for the Stokes Resolvent Problem in a Half Space, J

Reference 7

Resolution: verified exact; doi, observed 2026-08-06T20:41:16.189484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2185d7fa-c854-4eb0-9271-0aa542c7f706 · outbound

This paper cites Fr¨ ohlich,The Stokes operator in weightedL q-spaces II: weighted resolvent estimates and maximal L p-regularity, Math.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Fr¨ ohlich,The Stokes operator in weightedL q-spaces II: weighted resolvent estimates and maximal L p-regularity, Math

Reference 8

Resolution: verified exact; doi, observed 2026-08-06T20:41:15.987049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9e594248-2616-444b-a6c8-d99ee189454d · outbound

This paper cites an unresolved cited work.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-08-06T20:41:15.775157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fdb02a34-4c85-484f-b6bb-632596dcb2ae · outbound

This paper cites an unresolved cited work.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:41:18.035049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0c945b8c-fece-434a-908d-c5c6dedf3066 · outbound

This paper cites Hunt,OnL(p, q)spaces, L’Enseignement Math´ ematique, Vol.12 (1966).

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Hunt,OnL(p, q)spaces, L’Enseignement Math´ ematique, Vol.12 (1966)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:17.891864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5d5133c1-f8a9-41bb-8b3f-824a0c561a4e · outbound

This paper cites Kobayashi, T.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Kobayashi, T

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:17.794210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 92019c1b-c8af-4217-8d9f-14831fef8448 · outbound

This paper cites Kobayashi, T.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Kobayashi, T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:17.674643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 644875c0-30e9-4c0a-8dac-7e9e8651a1e0 · outbound

This paper cites Koch, V.A.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Koch, V.A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:17.483381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e195caeb-c064-47c6-b4b0-d93c744c1799 · outbound

This paper cites Kufner,Weighted Sobolev spaces, Teubner-Texte zur Mathematik, Teubner (1980).

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Kufner,Weighted Sobolev spaces, Teubner-Texte zur Mathematik, Teubner (1980)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:17.368243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4c72d134-3637-435e-8fe6-577afcd67532 · outbound

This paper cites an unresolved cited work.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:41:17.264517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9ab74b40-ab1f-4c96-95e4-cb2b2d6375e4 · outbound

This paper cites Maremonti,A remark on the Stokes problem in Lorentz space, Discrete and Continuous Dynamical Systems Series S, volume 6, N.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Maremonti,A remark on the Stokes problem in Lorentz space, Discrete and Continuous Dynamical Systems Series S, volume 6, N

Reference 17

Resolution: verified exact; doi, observed 2026-08-06T20:41:15.611792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6204b0c6-193c-4448-a495-39f82901fc15 · outbound

This paper cites Luigi Vanvitelli.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Luigi Vanvitelli

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:17.144063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 40670497-1d0c-41d0-800d-d8165b091cbd · outbound

This paper cites Maremonti,On theL p Helmholtz decomposition: a review of a result due to Solonnikov, Lithuanian Mathematical Journal,58(2018) 268-283, DOI 10.1007/s10986-018-9403-6.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Maremonti,On theL p Helmholtz decomposition: a review of a result due to Solonnikov, Lithuanian Mathematical Journal,58(2018) 268-283, DOI 10.1007/s10986-018-9403-6

Reference 19

Resolution: verified exact; doi, observed 2026-08-06T20:41:15.442407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fdf6e843-f51d-4f67-9af1-a19d76902714 · outbound

This paper cites Maremonti, V.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Maremonti, V

Reference 20

Resolution: verified exact; doi, observed 2026-08-06T20:41:15.252195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7e54508d-b7ea-400b-a319-afc5b8baacbc · outbound

This paper cites Maremonti, F.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Maremonti, F

Reference 21

Resolution: verified exact; doi, observed 2026-08-06T20:41:15.043848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 30c91e12-fbb3-4068-b96a-39bf416993b5 · outbound

This paper cites Maremonti, G.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Maremonti, G

Reference 22

Resolution: verified exact; doi, observed 2026-08-06T20:41:14.798911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 62fbda1e-bffb-4b99-9651-ad3967380dd4 · outbound

This paper cites Maremonti, V.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Maremonti, V

Reference 23

Resolution: verified exact; doi, observed 2026-08-06T20:41:14.609873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation da45e484-e783-4d5b-86be-a79dbeac2529 · outbound

This paper cites an unresolved cited work.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:41:17.026585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a009dd01-cf0b-45f0-8519-6b1a4fa5fbcf · outbound

This paper cites Solonnikov,Estimates of the solutions of the nonstationary Navier-Stokes system, Zap.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Solonnikov,Estimates of the solutions of the nonstationary Navier-Stokes system, Zap

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:16.876886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a83fb294-7930-469c-b799-2b639982a71f · outbound

This paper cites Solonnikov,On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator., Russian Math.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Solonnikov,On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator., Russian Math

Reference 26

Resolution: verified exact; doi, observed 2026-08-06T20:41:14.431692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9af60f13-7c86-4bd5-997d-5efc0a4a09b4 · outbound

This paper cites an unresolved cited work.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Unresolved cited work

Reference 27

Resolution: verified exact; doi, observed 2026-08-06T20:41:14.226411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7b56571f-8ba3-4c63-82d3-81363509eb2f · outbound

This paper cites an unresolved cited work.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:41:16.723532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2e78117b-06c9-40a7-8dff-90010a3d68db · outbound

This paper cites Yamazaki,The Navier-Stokes equations in the weak-L n space with time dependent external force., Math.

The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces Yamazaki,The Navier-Stokes equations in the weak-L n space with time dependent external force., Math

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:41:16.531413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.