Stochastic partial differential equations of divergence form are considered on Lipschitz domains. Existence and uniqueness results are given in weighted Sobolev spaces. It is allowed that the coefficients of the equations substantially oscillate or blow up near the boundary.
- Divergence form
- Lipschitz domains
- Stochastic partial differential equations
- Weighted Sobolev spaces
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty