Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness and Ergodicity
Probability
2007-05-23 v1
Abstract
Explicit conditions are presented for the existence, uniqueness and ergodicity of the strong solution to a class of generalized stochastic porous media equations. Our estimate of the convergence rate is sharp according to the known optimal decay for the solution of the classical (deterministic) porous medium equation.
Keywords
Cite
@article{arxiv.math/0512259,
title = {Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness and Ergodicity},
author = {Giuseppe Da Prato and Boris L. Rozovskii and Michael Röckner and Feng-Yu Wang},
journal= {arXiv preprint arXiv:math/0512259},
year = {2007}
}
Comments
15 pages; BiBoS-Preprint No. 04-09-157; to appear in Commun. PDE