Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness and Ergodicity

Details Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness and Ergodicity Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness and Ergodicity

2005-12-13

arxiv.org/abs/math/0512259v1

Mathematics

Probability

15 pages; BiBoS-Preprint No. 04-09-157; to appear in Commun. PDE

Scientific paper

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.

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