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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 22 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.188906Z digest=sha256:31cd19205cde64c528ac50ae42eff89b4886ab3c71a93f1b82c4685a94808c47

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.192613Z digest=sha256:9d87a8aa351d69e731c6cc69eaa4b56372cbd8fdc6077c5b1fabad80cbd05865

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.195877Z digest=sha256:c76a8446f01a17b2188140a13b8aff96cc0d8f840eaae5040e8acb3b38efeb95

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.199266Z digest=sha256:c616fa8b3ff009ba021038859f2853a9065d908b1e2b2a1e1144ea55c521ed51

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.202808Z digest=sha256:77165c26b9936a8dd9eb05bf5b58a504b501027a6fbe93390b6a5157c61dd36e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.206265Z digest=sha256:821ec4f111e86966d501f3ebb07b6e0a9b762902655032a7419b0f0bdef2d211

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.209630Z digest=sha256:309b8e3cf4359a3528eecfb34633b042bc953058bd8d0b06666c8d5066e583d7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.212356Z digest=sha256:94a0afb4e5d6802bcdba305d4763029ce86af0d19080685c4fff1b99c70c91c7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.215110Z digest=sha256:0733aa9536b78567ddd1b6f5c6a2d8bea79f75e39b6d80b1ae11611801fc84d9

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.217998Z digest=sha256:85163e0b6e9555eb0a29a038f9f87d70b6657486595d612e95c1398b51923548

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.220701Z digest=sha256:555e635eacbad278f7524fb5ea0a6c8e35569b489d3b3ef11629ddbb11b60c91

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.223831Z digest=sha256:e03ca106e716d927e5447eebb41dcd23a1d1fde40324996ef2261f4b2bb5d888

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.226503Z digest=sha256:329eff44fb7fe5ae8d4cf9cf1899358e33256748559082ad9cc349fb8825986b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.229907Z digest=sha256:17d084f2a1c9b276e6990ddc785a84ad255a0be465592eae2d26aebb853b3a98

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.233412Z digest=sha256:f0f0ebb939c9dcb3f6591280c94f0607cd7865b5f6e4a41c0c9f37a371f59f7b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.237099Z digest=sha256:222cd135c93fc04d82fc2017559f61328dbef0082fa1c11db3ecedddf64590c7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.239965Z digest=sha256:c2e986429041e028f13f8a5cc941be350d1d9a9537818af4a8ea106127f4914f

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.242719Z digest=sha256:60999b4b80677afd33cb3e1febbce85ff4fe565a139dd6d920123720b48fe35b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.245498Z digest=sha256:28c24f54c882f81a9ac1e0249c6a3be8e56c0013b508475edfa3ddb02aa04608

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.248374Z digest=sha256:0b11d6a4e8318e7cb9f5bd5776a713a867c91bf4efaa7bdcbbbde1c5822ef1d6

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.251200Z digest=sha256:63fd342dfec3567986ddcc13c313bcac932078552820a8e0a819a6c58ba26e91

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.254187Z digest=sha256:e27a111409c37a798c1306f686ea6c68f1089d7fc10d658678e09120d56b41b0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.257106Z digest=sha256:2c9c1b8e8ac57b8fb2db00e7f632beb7b8a25fae099afa9c50083479f02a5f1a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.259948Z digest=sha256:b0fe03ee2c3045c6399122a1084ba5b7e3cd5b8541f9f2c7ca2195a98e9e4f1f

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.262713Z digest=sha256:91b8faf53d5c46402004f6aab2a4d9ca16f63b780b74c83f864bb969e846c6ed

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.265404Z digest=sha256:5099000489fd885ba28130326f548b27ab5d6fe99176e1ecded4afc41772f053

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.268140Z digest=sha256:71bc5c3276b7383b2aed0c91e77879420970692bc52018e8d6552dece9c12da3

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.270969Z digest=sha256:c6710488e6e4b1d18987f093382474a80e173d01c48583cfe5eb7c05e67bd72b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.273779Z digest=sha256:7bc40885705fc21acfc8b1b4f12f21aafddc85bd317d616b3fd02ffefe43f99a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.276448Z digest=sha256:06b8c0bf89b53e97f0295ea54dcf47a7d6e7dcc898c5a240279db52928a6a9dc

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.279160Z digest=sha256:1af9bff9c8d650dd395f9234d11c9dbb13b85d30b8679714f38fe1145c63114d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.282037Z digest=sha256:f48d7f9a0de93ef1b6b41cc17d5ddad57c35c2417c73a6a6617b68a1170a8416

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.284840Z digest=sha256:1492e32d271cdc6dc917e6ac22b14e9266b1dd2603946fb61802ef428dbea490

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.287643Z digest=sha256:d236144e99e7cb5748bf79f5011778cc706353fec0e12f214507ba48453e58db

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=sha256:23beb4e90d0448943592691c7dc45c3d7dfe3b739aeca5f0ee5b9362032b0d4d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.293538Z digest=sha256:3f897fa99c27eb8f0e57cda451da64c36ad47346347a516dbb88efa49aa6ed28

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.296256Z digest=sha256:359924831b6861a87a7c9e58d33ae0e258e9761de7033256f50493faec70615c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.298887Z digest=sha256:13e9daf018ec4cd5be0d4c78171a16d1a938d49911ba8511bace1368044cbd58

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.301901Z digest=sha256:e686b7a699c96679da304641150a1b456e06b160f9619d1f1ddcd9fae3226872

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=sha256:67b3b7a565c66b4bbad4316ce0247a91ecbd3f2d9d52e24841df164a6d03b75c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.307418Z digest=sha256:3c653e57da108a541a574db5a6e8aa7e3e3217053cd329f5eccbb45a6f6ff759

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.310642Z digest=sha256:aaf31ff49cf9fd22eaaa39b20e0cc1fb4128a3ba16f0fbe86a0ec35bf834bab3

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=sha256:37ba5b5b400dc10c1c28dd4b463649f485b269b952d85aa3da92a3da5a7722c7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.316572Z digest=sha256:df8a2d2e82636e0a28e308bd3d37ce757bbb4b068608d58850875c5ea1c0d803

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.319481Z digest=sha256:7d35063d582c5a4ed76b32012afba41fbf88bc6b00b69a804a5fd73f82eafc74

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.322369Z digest=sha256:ecea15b2176bdac376cffc3f99c33744c26f3f7fb2f072828be9bdb36dd571b3

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.325056Z digest=sha256:5415986a4951251562ae8a35b9e015e3159fff0cc7a1988c63caa1ebed15cc7a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.327672Z digest=sha256:befa49c99bfb6128e75e0b876abb209e577c4aa2f0f72eb75eb5b1090c839522

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.330361Z digest=sha256:38b5e45a78c28340d310210110ffe116f1b0350bdff469724e7c0835c3c4bf16

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.333005Z digest=sha256:b0cad8c3edcd9cda096b9c5a4fa810081be764b5f21f2df86bb51c04bc299234

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.335566Z digest=sha256:e03b51ed9ad7ca93dc8049044c6132a2605a3fbc5fed6634173ae31e06efef3e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.338686Z digest=sha256:f7d317c5ee42a142e98d83db732760eac9268a7654492f9a4257ede1f1e23b1e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.341501Z digest=sha256:3fc79b483b584bcf93be71162069efcdd3c1734cbe93a8cd6bb35132fdc7e1b0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.344121Z digest=sha256:0227483eea1af95df2686d63c1679172eea820f064d1d1528d716a1da5caf5ec

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.347192Z digest=sha256:aa20b9ddb0fc34df7377dc0155deabe2122c35168b6d2af72005888bd5978794

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-06T15:06:22.349998Z digest=sha256:2733663258cd1422ab5792c6dd00956b43e63a82f890f0a00b201c047534fd30

Pith citing papers

No inbound Pith citation observations are available.