Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 238, Issue 1, Pages 118-152Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2007.03.027
Keywords
stochastic porous medium and fast diffusion equation; Banach space; Brownian motion
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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.
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