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

10 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

Find It

Find It at U of M Libraries

Cite this

@article{7ac9ccfd4e9945dbad63cdc505307ae8,

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",

issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "6",

}

TY - JOUR

T1 - On divergence form SPDEs with VMO coefficients

AU - Krylov, N. V.

PY - 2009

Y1 - 2009

N2 - We present several results on solvability in Sobolev spaces W1p of SPDEs in divergence form in the whole space.

AB - We present several results on solvability in Sobolev spaces W1p of SPDEs in divergence form in the whole space.

KW - Divergence equations

KW - Sobolev spaces

KW - Stochastic partial differential equations

UR - http://www.scopus.com/inward/record.url?scp=77951939041&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77951939041&partnerID=8YFLogxK

U2 - 10.1137/080726902

DO - 10.1137/080726902

M3 - Article

AN - SCOPUS:77951939041

SN - 0036-1410

VL - 40

SP - 2262

EP - 2285

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

Find It

Other files and links

Fingerprint

Cite this