On Divergence Form SPDEs with VMO Coefficients

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2009Embargo end date: 01 Jan 2008 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 40, pages 2,262-2,285 (issn: 0036-1410, eissn: 1095-7154,

Copyright policy )Funded by:NSF | Diffusion Processes and P...

Authors: Nicolai V. Krylov;

doi: 10.1137/080726902 , 10.48550/arxiv.0806.1925

arXiv: 0806.1925

On Divergence Form SPDEs with VMO Coefficients

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Abstract

We present several results on solvability in Sobolev spaces $W^{1}_{p}$ of SPDEs in divergence form in the whole space.

26 pages in the original file, 27 pages in the new version, numerous errors corrected

Related Organizations

University of Minnesota-Twin Cities
United States

Keywords

Mathematics - Analysis of PDEs, 60H15; 35R60, Probability (math.PR), 60H15, 35R60, FOS: Mathematics, Mathematics - Probability, Analysis of PDEs (math.AP)

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