On divergence form SPDEs with VMO coefficients in a half space

N. V. Krylov

doi:10.1016/j.spa.2008.11.003

On divergence form SPDEs with VMO coefficients in a half space

N. V. Krylov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We extend several known results on solvability in the Sobolev spaces W_p¹, p ∈ [2, ∞), of SPDEs in divergence form in R₊^d to equations having coefficients which are discontinuous in the space variable.

Original language	English (US)
Pages (from-to)	2095-2117
Number of pages	23
Journal	Stochastic Processes and their Applications
Volume	119
Issue number	6
DOIs	https://doi.org/10.1016/j.spa.2008.11.003
State	Published - Jun 2009

Bibliographical note

Funding Information:
The work was partially supported by NSF Grant DMS-0653121. The author is sincerely grateful to the referee and the Associate Editor handling the paper for their valuable comments.

Keywords

Divergence equations
Sobolev spaces
Stochastic partial differential equations

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10.1016/j.spa.2008.11.003

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title = "On divergence form SPDEs with VMO coefficients in a half space",

abstract = "We extend several known results on solvability in the Sobolev spaces Wp1, p ∈ [2, ∞), of SPDEs in divergence form in R+d to equations having coefficients which are discontinuous in the space variable.",

keywords = "Divergence equations, Sobolev spaces, Stochastic partial differential equations",

author = "Krylov, \{N. V.\}",

note = "Funding Information: The work was partially supported by NSF Grant DMS-0653121. The author is sincerely grateful to the referee and the Associate Editor handling the paper for their valuable comments. ",

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T1 - On divergence form SPDEs with VMO coefficients in a half space

AU - Krylov, N. V.

N1 - Funding Information: The work was partially supported by NSF Grant DMS-0653121. The author is sincerely grateful to the referee and the Associate Editor handling the paper for their valuable comments.

PY - 2009/6

Y1 - 2009/6

N2 - We extend several known results on solvability in the Sobolev spaces Wp1, p ∈ [2, ∞), of SPDEs in divergence form in R+d to equations having coefficients which are discontinuous in the space variable.

AB - We extend several known results on solvability in the Sobolev spaces Wp1, p ∈ [2, ∞), of SPDEs in divergence form in R+d to equations having coefficients which are discontinuous in the space variable.

KW - Divergence equations

KW - Sobolev spaces

KW - Stochastic partial differential equations

UR - https://www.scopus.com/pages/publications/64549089622

UR - https://www.scopus.com/pages/publications/64549089622#tab=citedBy

U2 - 10.1016/j.spa.2008.11.003

DO - 10.1016/j.spa.2008.11.003

M3 - Article

AN - SCOPUS:64549089622

SN - 0304-4149

VL - 119

SP - 2095

EP - 2117

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 6

ER -

On divergence form SPDEs with VMO coefficients in a half space

Abstract

Bibliographical note

Keywords

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