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arXiv · 0806.1963

On divergence form SPDEs with VMO coefficients in a half space

N. V. Krylov
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Abstract

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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N. V. Krylov. 2008-09-02. On divergence form SPDEs with VMO coefficients in a half space. https://arxiv.org/abs/0806.1963

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