We extend several known results on solvability in the Sobolev spaces Wp1, p ∈ [2, ∞), of SPDEs in divergence form in R+d to equations having coefficients which are discontinuous in the space variable.
Bibliographical noteFunding Information:
The work was partially supported by NSF Grant DMS-0653121. The author is sincerely grateful to the referee and the Associate Editor handling the paper for their valuable comments.
- Divergence equations
- Sobolev spaces
- Stochastic partial differential equations