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Paper Citation Record · LEDGER

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets

As of 11 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2507.17166.

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

pith.paper-citation-record.v1
2507.17166 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:06:22.349998Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

56 of 56 outbound references displayed

  • verified exact3
  • verified fuzzy46
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 51a2642f-3f5e-4b0f-8231-75890baef851 · outbound

This paper cites Abels, G.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Abels, G

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.896712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.188906Z digest=sha256:0dcc72fd19fc60be9d87cbb60bd9274df62e283b0eb97c8ce381b8edf4810ee8

Observation a87eb05a-0188-479c-838b-1130f753d5ea · outbound

This paper cites Aikawa, Quasiadditivity of Riesz capacity, Math.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Aikawa, Quasiadditivity of Riesz capacity, Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.887969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.192613Z digest=sha256:6212b33f2a38958f5d60b04c4c462cdae7fa57f8d781a2239d3a805ef5c89eca

Observation 4d230954-d374-4211-bfeb-7760ad0a48d6 · outbound

This paper cites Chang, K.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Chang, K

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.879407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.195877Z digest=sha256:5475cd787489bc75d32dfdfd00458eebd43bf17ae3f79117565dc3efe31f7d9f

Observation 0b4d3b37-adbb-4d66-bd77-b753bd53cb0c · outbound

This paper cites Choi and B.-S.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Choi and B.-S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.870314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.199266Z digest=sha256:222a8caeac732be27301a562778e885bb9f6bbc46d2b5ec7e884a6a9db52f43e

Observation f326a4da-dc8d-4058-9256-09998d135a6d · outbound

This paper cites Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:06:22.414128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.202808Z digest=sha256:9e184d6866c3ef6117db39e44ace5d1738971d9f7c5fbad97db7a2dfe2f02751

Observation 914a9272-fb29-4959-a91d-b7b3c83e47e5 · outbound

This paper cites Choi, K.-H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Choi, K.-H

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.861757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.206265Z digest=sha256:14e619ec04026839a26bac423c8d3b4588c8f27406ad49bbf5646fed5395b6c9

Observation 9e9b29e5-8c0e-4463-badc-d2795a51892d · outbound

This paper cites Chong and R.C.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Chong and R.C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.852871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.209630Z digest=sha256:ff7703d5c798cce6e2fd8bc11e87e3bb848d16b121e25361a07a83b4002b6551

Observation 5debfdc1-9ecb-4899-80fb-6a6cc29a2359 · outbound

This paper cites Chung, Doubly-Feller process with multiplicative functional in Seminar on stochastic processes, 1985, Progr.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Chung, Doubly-Feller process with multiplicative functional in Seminar on stochastic processes, 1985, Progr

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.844209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.212356Z digest=sha256:18f1ba36fc58625daf175a71b49a7f87e6ac94e1e1f192539eeb6005d2c9617b

Observation 7fbdbecc-2098-4783-8e78-e18904ed6de9 · outbound

This paper cites Corwin, H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Corwin, H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.835017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.215110Z digest=sha256:76aef1f661baaa6f9a1c5814e446569dc7d9ddec151994e9e4844f929463a6a3

Observation 76e5fbd6-5048-49ed-901d-7c9c5fadb52c · outbound

This paper cites Dalang, Extending the martingale measure stochastic integral with applications to spa- tially homogeneous S.P.D.E.’s, Electron.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dalang, Extending the martingale measure stochastic integral with applications to spa- tially homogeneous S.P.D.E.’s, Electron

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.826032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.217998Z digest=sha256:c2f46a465af9ef9f5a43cb27719d435100775abd1423c3d34377af4fcac5da37

Observation 12724331-6910-44f3-8416-556f136a46ad · outbound

This paper cites Dalang, N.E.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dalang, N.E

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.816613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.220701Z digest=sha256:61adfc32b89f3aa64f552fe1da9ffc5a50d1215a6728fef78ad110ca2a2cb965

Observation bd93ae6e-f250-483b-b8b3-4f1b128a1bff · outbound

This paper cites Dalang, L.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dalang, L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.807833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.223831Z digest=sha256:f13bd9a4414a6de6bc50b8e190fed3e4488146be1eac31b70e88b84fd4b87379

Observation 6d39f39f-220d-4908-a91d-7f1d48326411 · outbound

This paper cites Dawson, H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dawson, H

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.798921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.226503Z digest=sha256:46c1fc710508aa84e40658e08ec62e8e868164da8fff878f8961e80c6e81620c

Observation e94f2661-5f4b-47ce-9771-f09a8116a0d8 · outbound

This paper cites Dyda, Fractional calculus for power functions and eigenvalues of the fractional Laplacian, Fract.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dyda, Fractional calculus for power functions and eigenvalues of the fractional Laplacian, Fract

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.790153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.229907Z digest=sha256:90512fef3381e419e43407fadde74b4af0ee6d263deba0f836a9cb3624f56482

Observation 51085490-7470-417f-b6b6-91e3ee82ed9d · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:06:22.780635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.233412Z digest=sha256:62179e21fec6d9c573523060d95c3e1cb7316374d54daf8db9cece9bb7700e1b

Observation 3d9afec3-b830-4bbb-af7f-154e29679669 · outbound

This paper cites Ferrante, M.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Ferrante, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.771399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.237099Z digest=sha256:d85069b5280cdfa6f3202745f51f7fc54f4e803f6e766238190acdf86ff7caa5

Observation a9de7dc4-7642-4cd1-9dfe-5dd9f8c0349f · outbound

This paper cites Gilbarg, L.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Gilbarg, L

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.762575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.239965Z digest=sha256:be654187d04b72625498cc0e10b674d693600d691ad1a5cdf21979d4a1f0bf5a

Observation c09b8718-73a7-4461-aeab-0601f8cc6e4d · outbound

This paper cites Grafakos, Classical fourier analysis 3rd ed., Graduate Texts in Mathematics, Vol.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Grafakos, Classical fourier analysis 3rd ed., Graduate Texts in Mathematics, Vol

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.753744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.242719Z digest=sha256:a402c6af991ce895a16ca5ec152ada0a84fb5af99230a0276cf8f2755d0b1aca

Observation bc4efac1-b750-4366-870a-018548fb5f6f · outbound

This paper cites Grubb, Local and nonlocal boundary conditions for µ-transmission and fractional elliptic pseudodifferential operators, Anal.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Grubb, Local and nonlocal boundary conditions for µ-transmission and fractional elliptic pseudodifferential operators, Anal

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.745123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.245498Z digest=sha256:7b1ec2d2cdeb22e38297c1e8ddd3a9c5f468a9b551503cd3c06b4d2218655661

Observation 27764af1-2c0b-4a16-b61e-8bd9824d6bf3 · outbound

This paper cites Grubb, Fractional Laplacians on domains, a development of H¨ ormander’s theory of µ- transmission pseudodifferential operators, Adv.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Grubb, Fractional Laplacians on domains, a development of H¨ ormander’s theory of µ- transmission pseudodifferential operators, Adv

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.736167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.248374Z digest=sha256:03e7bb8fb59893ba57a85d37a0cb147f53b89badf26fb3f69b0d0fd2b8e41186

Observation b0009dad-5ba5-4f21-83f9-11025361d925 · outbound

This paper cites Gel’fand, N.Y.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Gel’fand, N.Y

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.726481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.251200Z digest=sha256:41c884d0d4e2cce3306c18ceb2e6c045d80e5db4b53bfb356a9cfd869c82dca9

Observation 08696402-7e4f-4001-92a5-b2e1a05de084 · outbound

This paper cites Han, A regularity theory for stochastic partial differential equations driven by multi- plicative space-time white noise with the random fractional Laplacians, Stoch.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Han, A regularity theory for stochastic partial differential equations driven by multi- plicative space-time white noise with the random fractional Laplacians, Stoch

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.717490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.254187Z digest=sha256:17084138e93ff2a272afeaae9e315672231d14e4247d57600d0caced66e937d8

Observation 21171dc3-2ae0-460d-bc0c-0a099133a12c · outbound

This paper cites Han, K.-H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Han, K.-H

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.707537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.257106Z digest=sha256:a7504ad00d3470ccaf305d39bbe5d0516f2e1e989ae5ef1886d631fcbca73c3a

Observation 8df5f283-e220-4e7b-bd41-410f71345f0e · outbound

This paper cites Hyt¨ onen, J.M.A.M.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Hyt¨ onen, J.M.A.M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.697875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.259948Z digest=sha256:3de53a979710299b104e167cd2e7ec4905df389c5f0e406638c87871b77a3d7e

Observation e74db7d9-cfe4-4078-abd9-09710446b4f7 · outbound

This paper cites A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.688947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.262713Z digest=sha256:c4acbc823346c33df81547ad300c81a21541645889507d3abee80c4db75abaa5

Observation b27da926-9f03-4e51-a5de-55ddc8fc7296 · outbound

This paper cites Kim, K.-H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Kim, K.-H

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.679798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.265404Z digest=sha256:30c11c83b5dc3d8db1bf67eabe7f44bd53e98c8b8e179d7773a80837556c8449

Observation 38492d69-ccf6-48c5-8481-e0287717b4da · outbound

This paper cites Kim, K.-H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Kim, K.-H

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.669686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.268140Z digest=sha256:793d73db759fc8269ccd6ce48d7f2505b3ffcd0686853d26cb83a1cfc759c003

Observation 413a5e56-7b9d-4d87-8cd1-d83eca86614a · outbound

This paper cites Kim, On stochastic partial differential equations with variable coefficients in C1 do- mains, Stochastic Process.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Kim, On stochastic partial differential equations with variable coefficients in C1 do- mains, Stochastic Process

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.660622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.270969Z digest=sha256:d04a26ccde0ffd0e66282eabc9f586507300725058959b033057a2ba6c4d2357

Observation 631d3be4-65bf-4b0a-bd93-4050bee62d6f · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:06:22.649824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.273779Z digest=sha256:f16da963f3044361f2e8d008ad27a45b560c5ffb7bfcde9be78148d9aef87795

Observation cf7d53b8-5f8c-4ae5-b68b-a9a4310e31ea · outbound

This paper cites Kim, N.V.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Kim, N.V

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.639850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.276448Z digest=sha256:b17c2bb6fdd0e5d03feabcc2e0970a8af8bf2c7914d36329d3f889b8f2d5090b

Observation d73da5a8-c1a7-44e2-b1a1-611b6919464d · outbound

This paper cites Krylov, A W n 2 -theory of the Dirichlet problem for SPDEs in general smooth domains, Probab.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, A W n 2 -theory of the Dirichlet problem for SPDEs in general smooth domains, Probab

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.630787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.279160Z digest=sha256:89bdfafa14cf5424e2f82ae0d81ed95fa3a9d4d77d72b265e53a602f3bcaf023

Observation c320856b-48db-4f49-a427-4cd27d165c85 · outbound

This paper cites Krylov, Introduction to the Theory of Diffusion Processes, American Mathematical Society, Providence, RI, 1995.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, Introduction to the Theory of Diffusion Processes, American Mathematical Society, Providence, RI, 1995

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.620952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.282037Z digest=sha256:04788ea5120bd40554b5120b5746fbb74beb4b867920afe0ca2fd1d251615333

Observation c044f9f0-c669-4519-bb40-76e7d969bb67 · outbound

This paper cites Krylov, On Lp-theory of stochastic partial differential equations, SIAM J.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, On Lp-theory of stochastic partial differential equations, SIAM J

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.611199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.284840Z digest=sha256:fb5d757df2339757166a187a968317d235b7920a374f5a5b6ef4f1c5f17a4e33

Observation 8726e188-7c77-4eee-bc62-6a95126f3ba4 · outbound

This paper cites Krylov, An analytic approach to SPDEs in Stochastic Partial Differential Equations: Six perspectives, Mathematical Surveys and Monographs Vol.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, An analytic approach to SPDEs in Stochastic Partial Differential Equations: Six perspectives, Mathematical Surveys and Monographs Vol

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.601725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.287643Z digest=sha256:f33a3548a3299202cd716edd0d944e957c590bc412d4d299e1c0418ca4b2c0be

Observation f4000514-dd29-4904-9601-cc1cb02902f2 · outbound

This paper cites Krylov, Weighted Sobolev spaces and Laplace’s equation and the heat equations in a half space, Commun.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, Weighted Sobolev spaces and Laplace’s equation and the heat equations in a half space, Commun

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-06T15:06:22.290528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:22.290528Z digest=sha256:0bc4d80a921e2c14b21e80cf350c6222cf40edd62e052be58c552c75398b6c2b

Observation 982f7e56-33ec-4ec5-acef-2d620dc19073 · outbound

This paper cites Krylov, Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces, J.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces, J

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.584489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.293538Z digest=sha256:4196ed8c48e56858789fffb977f0c573ddfd68b0de5b450195c63a6ac761ec83

Observation 14534426-df0b-4c0c-af34-e4d9d4a8af99 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:06:22.574643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.296256Z digest=sha256:764ea2fb3211b35a26c27952142822bf55cad8da477c516506ee860098b10c9e

Observation e6992d53-9752-4bd2-8227-f5ca34d4c25c · outbound

This paper cites Krylov, Lectures on Elliptic and Parabolic Equations in Sobolev Spaces, American Mathematical Society, Providence, RI, 2008.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, Lectures on Elliptic and Parabolic Equations in Sobolev Spaces, American Mathematical Society, Providence, RI, 2008

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.565871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.298887Z digest=sha256:f0155422ee86d1fda7a55c590ce10018f42449490f837c73adc89ca4e9bd1b62

Observation a32ca33e-6764-48b7-841c-6daf5d4f2376 · outbound

This paper cites Krylov, On the Itˆ o-Wentzell formula for distribution-valued processes and related topics, Probab.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, On the Itˆ o-Wentzell formula for distribution-valued processes and related topics, Probab

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.555942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.301901Z digest=sha256:3fe6c1848d8327f4125ab566c74b8d44ee1096d7630bcdf2fb2a88374b52b625

Observation 9a15ed53-26b9-4e24-8b4b-1846a1f193fa · outbound

This paper cites Krylov, S.V.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Krylov, S.V

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T15:06:22.304680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:22.304680Z digest=sha256:fe8e0ebb4b43e2c0c049817dc8cb087e0b28e69cbdc2c6124f3f43a37ffe4f0b

Observation 51afd45f-8727-42d7-adb9-cc9eaaa73ba8 · outbound

This paper cites Lorist, M.C.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Lorist, M.C

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.540410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.307418Z digest=sha256:7b7edc8db84f719578b0b24cc04e1c051131972b8503c396232af14665e9cefd

Observation 05f7e09f-55ed-47a7-bd82-948d53264d07 · outbound

This paper cites Lototsky, Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations, Methods.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Lototsky, Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations, Methods

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.530731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.310642Z digest=sha256:1a63272a8354b3cf5544729bbb923780cb1857bcb7a5432d0e5e1021f20c76f5

Observation b906401c-a933-40a2-bd2a-059ae3729cd1 · outbound

This paper cites Magenes, J.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Magenes, J

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T15:06:22.313493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:06:22.313493Z digest=sha256:eb4b3082c5fbf529b443b7414f36fe917a407ecf817a835d6467f502d37ef60c

Observation 71fc96d9-45c5-4bde-a77a-95a221e65597 · outbound

This paper cites Mikuleviˇ cius, H.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Mikuleviˇ cius, H

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.514939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.316572Z digest=sha256:4d1ba44a61ac22fbb5fd8c51a6579de2b09b73e67a20b49f188e588a21bc9c35

Observation c8adc070-1f0e-4b88-9bb1-a6b044a9a2ca · outbound

This paper cites Mikuleviˇ cius, C.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Mikuleviˇ cius, C

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.505968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.319481Z digest=sha256:971c593ef897432a44e8e60d920996357fabff29fd6e8ef2bde3e10d441bab7f

Observation a8d1d94d-736b-405a-bdb5-1a0274defdcb · outbound

This paper cites Mueller, Long time existence for the heat equation with a noise term, Probab.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Mueller, Long time existence for the heat equation with a noise term, Probab

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.496919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.322369Z digest=sha256:0320680b220e9df62f99c27f81ddbcb3a3cef52867741a697dbd3cd7e0f521a3

Observation 5197f6c7-6735-4c1f-9cec-8c8e2a932ef5 · outbound

This paper cites Mueller, The critical parameter for the heat equation with a noise term to blow up in finite time, Ann.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Mueller, The critical parameter for the heat equation with a noise term to blow up in finite time, Ann

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.487648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.325056Z digest=sha256:d05bd70885922fe302fd16fd39842a5b6b534eb308ff6b497b86aa65564d5e25

Observation 12a23fc7-fb8f-4931-a8cf-b717291096a4 · outbound

This paper cites van Neerven, M.C.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets van Neerven, M.C

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.478870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.327672Z digest=sha256:32a840e4271f505237b255b40e6c606c657d6140a6f6ae04fe10eec12c67fb17

Observation 439e398e-09a8-41c7-8221-ca5a157c21c0 · outbound

This paper cites Portal, M.C.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Portal, M.C

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.470219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.330361Z digest=sha256:20acb32379977bf25d6615b227828c0521e9a9b8c74681ab30c14c5e7a3737a9

Observation 94776e4d-68a3-42ab-b49d-1d5232d0f3c6 · outbound

This paper cites Ros-Oton, Nonlocal elliptic equations in bounded domains: a survey, Publ.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Ros-Oton, Nonlocal elliptic equations in bounded domains: a survey, Publ

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.461321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.333005Z digest=sha256:2e9e905da2f65e9fca0b233298ce37687c81956c22ae78b5d1615c89ea51f80a

Observation 1f69d99d-f330-4900-9975-d4edecf2f343 · outbound

This paper cites Ros-Oton, J.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Ros-Oton, J

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.452533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.335566Z digest=sha256:5c2de121e0d166ad7764a681b3e2b8de6605ba07e8a1757346d1b27ba008b404

Observation 0e1c5051-dbb7-4772-975e-f87eb8b34322 · outbound

This paper cites Salins, Solutions to the stochastic heat equation with polynomially growing multiplicative noise do not explode in the critical regime, Ann.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Salins, Solutions to the stochastic heat equation with polynomially growing multiplicative noise do not explode in the critical regime, Ann

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.443445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.338686Z digest=sha256:9f08080bbfb35b7c984a4fdedd0d590c70df1c378289b2e33c7ae2115327ddd5

Observation 6c948d57-c549-4e2b-b31a-64c7751d088e · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:06:22.432814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.341501Z digest=sha256:8b3757404891553e806880c8332e59a78a4c7010fb8f4eb7d7811eb22e196e9c

Observation 0bc3c530-182a-466a-9afd-210dfe785828 · outbound

This paper cites Sobolev space theory for Poisson's and the heat equations in non-smooth domains via superharmonic functions and Hardy's inequality.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Sobolev space theory for Poisson's and the heat equations in non-smooth domains via superharmonic functions and Hardy's inequality

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:06:22.399823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.344121Z digest=sha256:01bda9dca82d956e9cd82a8dc1c9dc5fd0e03b3c38953c7dda50485bf49e61e5

Observation 4c11d874-f248-4e99-8986-a7c38a396ee7 · outbound

This paper cites Triebel, Theory of function spaces, reprint of 1983 edition, Modern Birkh¨ auser Classics, Birkh¨ auser/Springer Basel AG, Basel, 2010.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Triebel, Theory of function spaces, reprint of 1983 edition, Modern Birkh¨ auser Classics, Birkh¨ auser/Springer Basel AG, Basel, 2010

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:06:22.423775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.347192Z digest=sha256:fb6745e66502f39169bb1a0aecd9c148ec9163fe78545567ddfc19b73fa64460

Observation 918b4485-8dda-4084-a1e3-43492d296977 · outbound

This paper cites Dirichlet problem for supercritical nonlocal operators.

The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Dirichlet problem for supercritical nonlocal operators

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:06:22.385792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T15:06:22.349998Z digest=sha256:92595c9f0f2a8911901c957e3362908caafe9e396a1c5c0f3c7b79662de8b1fc

Pith citing papers

No inbound Pith citation observations are available.