L p estimates for the uniform norm of solutions of quasilinear SPDE's.

In this paper we prove L p estimates ( p≥2) for the uniform norm of the paths of solutions of quasilinear stochastic partial differential equations (SPDE) of parabolic type. Our method is based on a version of Moser's iteration scheme developed by Aronson and Serrin in the context of non-linear parabolic PDE. [ABSTRACT FROM AUTHOR]