On divergence form SPDEs with VMO coefficients in a half space

Mathematics – Probability

Scientific paper

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23 pages, a few errors are corrected

Scientific paper

We extend several known results on solvability in the Sobolev spaces
$W^{1}_{p}$, $p\in[2,\infty)$, of SPDEs in divergence form in $\bR^{d}_{+}$ to
equations having coefficients which are discontinuous in the space variable.

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