On divergence form SPDEs with VMO coefficients in a half space


الملخص بالإنكليزية

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

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