On divergence form SPDEs with VMO coefficients in a half space

Abstract

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

23 pages, a few errors are corrected