The Obstacle Problem for Quasilinear Stochastic PDEs with Degenerate Operator

Abstract

We prove the existence and uniqueness of solution of quasilinear stochastic partial differential equations with obstacle (OSPDEs in short) in degenerate case. Using De Giorgi's iteration, we deduce the $L^p-$estimates for the time-space uniform norm of weak solutions.

arXiv admin note: text overlap with arXiv:1202.3296