Stochastic generalized porous media and fast diffusion equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:238

Article

Ren, Jiagang ; Rockner, Michael ; Wang, Feng-Yu

关键词: stochastic porous medium and fast diffusion equation;    Banach space;    Brownian motion;   

DOI  :  10.1016/j.jde.2007.03.027

来源: Elsevier

【 摘 要 】

We present a generalization of Krylov-Rozovskii's result on the existence and uniqueness of solutions to monotone stochastic differential equations. As an application, the stochastic generalized porous media and fast diffusion equations are studied for or-finite reference measures, where the drift term is given by a negative definite operator acting on a time-dependent function, which belongs to a large class of functions comparable with the so-called N-functions in the theory of Orlicz spaces. (C) 2007 Published by Elsevier Inc.

【 授权许可】

Free