On divergence form SPDEs with VMO coefficients

2008/06/11 by Н. В. Крылов, N. V. Krylov, Krylov, N. V.
Mathematics · #35R60 #60H15 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Probability (math.PR) #math.AP #math.PR #msc:35R60 #msc:60H15

paper · pdf · doi:10.48550/arxiv.0806.1925

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

openalex publication_date 2008/06/11 · arxiv created 2008/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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