On divergence form SPDEs with VMO coefficients

N. V. Krylov

doi:10.1137/080726902

On divergence form SPDEs with VMO coefficients

N. V. Krylov

School of Mathematics

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

12 Scopus citations

Abstract

We present several results on solvability in Sobolev spaces W¹_p of SPDEs in divergence form in the whole space.

Original language	English (US)
Pages (from-to)	2262-2285
Number of pages	24
Journal	SIAM Journal on Mathematical Analysis
Volume	40
Issue number	6
DOIs	https://doi.org/10.1137/080726902
State	Published - 2009

Bibliographical note

Publisher Copyright:
© 2009 Society for Industrial and Applied Mathematics.

Keywords

Divergence equations
Sobolev spaces
Stochastic partial differential equations

Publisher link

10.1137/080726902

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title = "On divergence form SPDEs with VMO coefficients",

abstract = "We present several results on solvability in Sobolev spaces W1p of SPDEs in divergence form in the whole space.",

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

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

note = "Publisher Copyright: {\textcopyright} 2009 Society for Industrial and Applied Mathematics.",

year = "2009",

doi = "10.1137/080726902",

language = "English (US)",

volume = "40",

pages = "2262--2285",

journal = "SIAM Journal on Mathematical Analysis",

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PY - 2009

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KW - Divergence equations

KW - Sobolev spaces

KW - Stochastic partial differential equations

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 6

ER -

On divergence form SPDEs with VMO coefficients

Abstract

Bibliographical note

Keywords

Publisher link

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