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Paper Citation Record · LEDGER

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2411.18852.

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

pith.paper-citation-record.v1
2411.18852 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:58:45.130458Z

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 exact1
  • verified fuzzy15
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0a3bf56b-fd0d-4bd4-b4b0-ef98ec72794b · outbound

This paper cites Auscher, On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates , Mem.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Auscher, On necessary and sufficient conditions for Lp-estimates of Riesz transforms associated to elliptic operators on Rn and related estimates , Mem

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:46.141311Z

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.

source=pdf_text observed=2026-08-12T10:58:44.725645Z digest=sha256:542a9f26292d7874dcc74baf21c72f8f4431fb5c199f3784c911a7f70da0ac12

Observation d704ad24-03f3-4721-8914-fc2436ed188f · outbound

This paper cites Auscher and M.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Auscher and M

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-12T10:58:44.729537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:58:44.729537Z digest=sha256:36919259327d2b337c4fd2d2a3eda4ccf04852f04f541ff649210ac65ea86714

Observation 0464080d-72ac-4d94-9cc4-8b4cdcef7708 · outbound

This paper cites Byun, Elliptic equations with BMO coefficients in Lipschitz domain s, Trans.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Byun, Elliptic equations with BMO coefficients in Lipschitz domain s, Trans

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:46.127546Z

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.

source=pdf_text observed=2026-08-12T10:58:44.732772Z digest=sha256:decf6041545500d4889dad32e592a689ea205209f17ea02e1ef8c2c1f7305e98

Observation 3e0df0d3-a069-4f23-bedb-757017c8b1ba · outbound

This paper cites Byun and L.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Byun and L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:46.118894Z

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.

source=pdf_text observed=2026-08-12T10:58:44.735501Z digest=sha256:700e56c720edc00850031b684dd3ec824bee1262b8b209410865d63858269912

Observation b4f9689f-0651-4d61-8b45-168d007976ec · outbound

This paper cites London Math.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph London Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:46.109883Z

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.

source=pdf_text observed=2026-08-12T10:58:44.738973Z digest=sha256:ad999031e921c9462562d89d7518dad2073ad65bf45e705df5b958c3f2e69263

Observation fdc7b469-7bc8-4c81-8a06-0ff5309461de · outbound

This paper cites an unresolved cited work.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:58:46.101715Z

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.

source=pdf_text observed=2026-08-12T10:58:44.742126Z digest=sha256:0902e8c6abf6680e4b2af0d0a07e9c7dade65335484d1f845f3e70ad65b9a4b7

Observation e8ecae66-d40d-4935-8960-503c3b365b5c · outbound

This paper cites Dong and D.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Dong and D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:46.093413Z

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.

source=pdf_text observed=2026-08-12T10:58:44.745592Z digest=sha256:55e609fa8821b66e8570775f6389ab2ad1f70abf8fe0c045e6648fd743676720

Observation 41aea1fa-65c3-4f10-9e04-1a22895103fa · outbound

This paper cites Fabes, O.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Fabes, O

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:46.084831Z

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.

source=pdf_text observed=2026-08-12T10:58:44.748491Z digest=sha256:6c344a90a146ac67592677cac8d708111a13135d47f52c2de181031ccbf9a554

Observation c295f73e-793d-4699-ac75-c06969baa943 · outbound

This paper cites Fefferman, The uncertainty principle , Bull.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Fefferman, The uncertainty principle , Bull

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:46.075842Z

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.

source=pdf_text observed=2026-08-12T10:58:44.751267Z digest=sha256:5a6c1914898e366742ef3a0b86a93cfc53d63ccc150cf0d605814ba186ba75ef

Observation b68c52c4-22f2-400c-9aba-d4e649999663 · outbound

This paper cites Franchi, Weighted Sobolev-Poincar´ e inequalities and pointwise estimates for a class of degenerate elliptic equations , Trans.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Franchi, Weighted Sobolev-Poincar´ e inequalities and pointwise estimates for a class of degenerate elliptic equations , Trans

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:46.066410Z

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.

source=pdf_text observed=2026-08-12T10:58:44.753969Z digest=sha256:262054d161405206c8f83672b528d2654851aaee0383335405b6abec54d4ba1a

Observation 0bc8fbf2-4747-464b-9456-3a97d6306edf · outbound

This paper cites Geng, W 1,p estimates for elliptic problems with Neumann boundary cond itions in Lipschitz domains , Adv.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Geng, W 1,p estimates for elliptic problems with Neumann boundary cond itions in Lipschitz domains , Adv

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:45.893341Z

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.

source=pdf_text observed=2026-08-12T10:58:44.756884Z digest=sha256:8b2c87594df009605d36737b4de312a2d294d45e65f9d736096618eafeac0ee8

Observation 3510a9c4-e8ad-46aa-9ba6-a836087d7b5d · outbound

This paper cites an unresolved cited work.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:58:45.715984Z

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.

source=pdf_text observed=2026-08-12T10:58:44.759843Z digest=sha256:5e4f9f4a24acd2c44e9c16c62cc56693c48b846583070dc988c8ca3c6b8991c3

Observation 1909cf45-ece6-4c4f-a4ef-e721c1a2b81d · outbound

This paper cites Geng and Z.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Geng and Z

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:45.566761Z

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.

source=pdf_text observed=2026-08-12T10:58:44.775190Z digest=sha256:67dfdccb1a8c9fc68bad6ab2367773b9114f19277e5a22567bdbdd5c60f47d01

Observation 036b3d78-6a7e-4401-ac99-0ad885da9fde · outbound

This paper cites Geng and Z.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Geng and Z

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:45.558273Z

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.

source=pdf_text observed=2026-08-12T10:58:44.806311Z digest=sha256:b8e6115070f3494e28b10be3ea2cdee9ce7082e802f3ab82e7ca98c7d1554a1a

Observation 80b31f02-57e5-4d3d-8b63-211a7e2cad70 · outbound

This paper cites an unresolved cited work.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:58:45.547806Z

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.

source=pdf_text observed=2026-08-12T10:58:44.906131Z digest=sha256:212f2cbaf398fb1d0a19e295094dd335638ffbdc1960c482e376f756adbd41eb

Observation 4b67c816-58f9-454e-af09-dd7a8d5d89f2 · outbound

This paper cites Jerison and C.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Jerison and C

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T10:58:44.967546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:58:44.967546Z digest=sha256:5c794dc2f06f9fb80ba4735245288beb44049148837249f950ead86e582372da

Observation ffacc44e-56a4-456d-9ad7-03dacd844d20 · outbound

This paper cites Lee and J.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Lee and J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:45.531716Z

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.

source=pdf_text observed=2026-08-12T10:58:44.998339Z digest=sha256:26bf4dc82d1a5664cc824ae53d4583d88d5a39e9d4108c7ee11ebf6032fa406f

Observation bbc50c05-84de-48af-aa37-5626d392c9b0 · outbound

This paper cites Mitrea and M.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Mitrea and M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:45.520677Z

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.

source=pdf_text observed=2026-08-12T10:58:45.107155Z digest=sha256:b4c5935b855cef170f68feffaf759a95015c06f25d05302be3239e63f98f4541

Observation d548d2ea-7a4c-4552-831c-26c9ab72c943 · outbound

This paper cites Dirichlet Problems in Perforated Domains.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Dirichlet Problems in Perforated Domains

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-08-12T10:58:45.163240Z

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.

source=pdf_text observed=2026-08-12T10:58:45.110446Z digest=sha256:3814b432d5abb138fc3af9e9176339a64eb3c3b9dd933d053561e499c2f80e5e

Observation dbd8aa10-c37c-4955-af45-4e63310334d1 · outbound

This paper cites Shen, On the Neumann problem for Schr ¨odinger operators in Lipschitz domains , Indiana Univ.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Shen, On the Neumann problem for Schr ¨odinger operators in Lipschitz domains , Indiana Univ

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:45.509622Z

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.

source=pdf_text observed=2026-08-12T10:58:45.113951Z digest=sha256:989d0328d84da96914337251ac57234fa4110b47af0019e40bf3f05178edf76b

Observation d0490daa-423c-40f2-b5a6-1e44628a9379 · outbound

This paper cites an unresolved cited work.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:58:45.302437Z

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.

source=pdf_text observed=2026-08-12T10:58:45.117192Z digest=sha256:30e3c783da210d48f1ca9db26e473c695cb6cbe73ab5f54fce454f523b6e33c3

Observation b43fd67f-aa49-42e3-8235-2e1d426b595d · outbound

This paper cites an unresolved cited work.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:58:45.203332Z

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.

source=pdf_text observed=2026-08-12T10:58:45.119664Z digest=sha256:19b1aecd13cdda7c692930f29de0cc73ae298e5b11ed450d987683aedaf5ab54

Observation c792559e-18a2-42a6-b806-3ae1c9fd73f3 · outbound

This paper cites an unresolved cited work.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:58:45.191519Z

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.

source=pdf_text observed=2026-08-12T10:58:45.122662Z digest=sha256:fa4a4fcb2a1df4859006c3ca4af9e5ef07bae4f02c963555b19e245ccceab667

Observation 924cfacd-e7d7-47c0-b4a5-4c5c7b2c4710 · outbound

This paper cites an unresolved cited work.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-12T10:58:45.181427Z

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.

source=pdf_text observed=2026-08-12T10:58:45.126074Z digest=sha256:d314b28eb63d3ee0aee675582011a4a0506c8e0c33fc68dab4e4f580f618723d

Observation e3a4a57b-73e1-4ee0-a7d7-af33b7f18e53 · outbound

This paper cites 269, Advances in Partial Differential Equation s (Basel), Birkh¨ auser/Springer, Cham, 2018.

$W^{1,p}$ estimates for Schr\"odinger equation in the region above a convex graph 269, Advances in Partial Differential Equation s (Basel), Birkh¨ auser/Springer, Cham, 2018

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T10:58:45.172952Z

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.

source=pdf_text observed=2026-08-12T10:58:45.130458Z digest=sha256:9f9a31f1126709a9a4675968a2ec46a913953d37654fd10e9441670892002ed3

Pith citing papers

No inbound Pith citation observations are available.