Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:06:22.349998Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:06:22.349998Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 51a2642f-3f5e-4b0f-8231-75890baef851 · outbound
Reference 1
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.
Observation a87eb05a-0188-479c-838b-1130f753d5ea · outbound
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
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.
Observation 4d230954-d374-4211-bfeb-7760ad0a48d6 · outbound
Reference 3
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.
Observation 0b4d3b37-adbb-4d66-bd77-b753bd53cb0c · outbound
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Choi and B.-S
Reference 4
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.
Observation f326a4da-dc8d-4058-9256-09998d135a6d · outbound
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
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.
Observation 914a9272-fb29-4959-a91d-b7b3c83e47e5 · outbound
Reference 6
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.
Observation 9e9b29e5-8c0e-4463-badc-d2795a51892d · outbound
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Chong and R.C
Reference 7
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.
Observation 5debfdc1-9ecb-4899-80fb-6a6cc29a2359 · outbound
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
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.
Observation 7fbdbecc-2098-4783-8e78-e18904ed6de9 · outbound
Reference 9
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.
Observation 76e5fbd6-5048-49ed-901d-7c9c5fadb52c · outbound
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
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.
Observation 12724331-6910-44f3-8416-556f136a46ad · outbound
Reference 11
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.
Observation bd93ae6e-f250-483b-b8b3-4f1b128a1bff · outbound
Reference 12
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.
Observation 6d39f39f-220d-4908-a91d-7f1d48326411 · outbound
Reference 13
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.
Observation e94f2661-5f4b-47ce-9771-f09a8116a0d8 · outbound
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
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.
Observation 51085490-7470-417f-b6b6-91e3ee82ed9d · outbound
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work
Reference 15
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.
Observation 3d9afec3-b830-4bbb-af7f-154e29679669 · outbound
Reference 16
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.
Observation a9de7dc4-7642-4cd1-9dfe-5dd9f8c0349f · outbound
Reference 17
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.
Observation c09b8718-73a7-4461-aeab-0601f8cc6e4d · outbound
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
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.
Observation bc4efac1-b750-4366-870a-018548fb5f6f · outbound
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
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.
Observation 27764af1-2c0b-4a16-b61e-8bd9824d6bf3 · outbound
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
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.
Observation b0009dad-5ba5-4f21-83f9-11025361d925 · outbound
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Gel’fand, N.Y
Reference 21
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.
Observation 08696402-7e4f-4001-92a5-b2e1a05de084 · outbound
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
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.
Observation 21171dc3-2ae0-460d-bc0c-0a099133a12c · outbound
Reference 23
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.
Observation 8df5f283-e220-4e7b-bd41-410f71345f0e · outbound
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
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.
Observation e74db7d9-cfe4-4078-abd9-09710446b4f7 · outbound
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
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.
Observation b27da926-9f03-4e51-a5de-55ddc8fc7296 · outbound
Reference 26
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.
Observation 38492d69-ccf6-48c5-8481-e0287717b4da · outbound
Reference 27
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.
Observation 413a5e56-7b9d-4d87-8cd1-d83eca86614a · outbound
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
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.
Observation 631d3be4-65bf-4b0a-bd93-4050bee62d6f · outbound
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work
Reference 29
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.
Observation cf7d53b8-5f8c-4ae5-b68b-a9a4310e31ea · outbound
Reference 30
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.
Observation d73da5a8-c1a7-44e2-b1a1-611b6919464d · outbound
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
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.
Observation c320856b-48db-4f49-a427-4cd27d165c85 · outbound
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
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.
Observation c044f9f0-c669-4519-bb40-76e7d969bb67 · outbound
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
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.
Observation 8726e188-7c77-4eee-bc62-6a95126f3ba4 · outbound
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
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.
Observation f4000514-dd29-4904-9601-cc1cb02902f2 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 982f7e56-33ec-4ec5-acef-2d620dc19073 · outbound
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
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.
Observation 14534426-df0b-4c0c-af34-e4d9d4a8af99 · outbound
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work
Reference 37
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.
Observation e6992d53-9752-4bd2-8227-f5ca34d4c25c · outbound
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
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.
Observation a32ca33e-6764-48b7-841c-6daf5d4f2376 · outbound
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
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.
Observation 9a15ed53-26b9-4e24-8b4b-1846a1f193fa · outbound
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51afd45f-8727-42d7-adb9-cc9eaaa73ba8 · outbound
Reference 41
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.
Observation 05f7e09f-55ed-47a7-bd82-948d53264d07 · outbound
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
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.
Observation b906401c-a933-40a2-bd2a-059ae3729cd1 · outbound
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71fc96d9-45c5-4bde-a77a-95a221e65597 · outbound
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Mikuleviˇ cius, H
Reference 44
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.
Observation c8adc070-1f0e-4b88-9bb1-a6b044a9a2ca · outbound
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Mikuleviˇ cius, C
Reference 45
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.
Observation a8d1d94d-736b-405a-bdb5-1a0274defdcb · outbound
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
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.
Observation 5197f6c7-6735-4c1f-9cec-8c8e2a932ef5 · outbound
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
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.
Observation 12a23fc7-fb8f-4931-a8cf-b717291096a4 · outbound
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets van Neerven, M.C
Reference 48
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.
Observation 439e398e-09a8-41c7-8221-ca5a157c21c0 · outbound
Reference 49
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.
Observation 94776e4d-68a3-42ab-b49d-1d5232d0f3c6 · outbound
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
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.
Observation 1f69d99d-f330-4900-9975-d4edecf2f343 · outbound
Reference 51
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.
Observation 0e1c5051-dbb7-4772-975e-f87eb8b34322 · outbound
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
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.
Observation 6c948d57-c549-4e2b-b31a-64c7751d088e · outbound
The Dirichlet problem for stochastic partial differential equations with nonlocal operators in $C^{1,\sigma}$ open sets Unresolved cited work
Reference 53
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.
Observation 0bc3c530-182a-466a-9afd-210dfe785828 · outbound
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
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.
Observation 4c11d874-f248-4e99-8986-a7c38a396ee7 · outbound
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
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.
Observation 918b4485-8dda-4084-a1e3-43492d296977 · outbound
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
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.
No inbound Pith citation observations are available.