Degenerate stochastic partial differential equations of divergence and non-divergence forms are considered in non-smooth domains. Existence and uniqueness results are given in weighted Sobolev spaces, and Holder estimates of the solutions are presented.
"Parabolic SPDEs Degenerating on the Boundary of Non-Smooth Domain." Electron. J. Probab. 11 563 - 584, 2006. https://doi.org/10.1214/EJP.v11-339