On divergence form SPDEs with VMO coefficients in a half space

2008/06/11 by N. V. Krylov, Krylov, N. V.
Mathematics · #35R60 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR) #math.AP #math.PR #msc:35R60 #msc:60H15

paper · pdf · doi:10.48550/arxiv.0806.1963

23 pages, a few errors are corrected

arxiv created 2008/09/02 · arxiv updated 2009/12/01

Abstract

We extend several known results on solvability in the Sobolev spaces W¹_p, p∈[2,∞), of SPDEs in divergence form in \bR^d₊ to equations having coefficients which are discontinuous in the space variable.

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