Invariant measures for monotone SPDE's with multiplicative noise term

Details Invariant measures for monotone SPDE's with multiplicative noise term Invariant measures for monotone SPDE's with multiplicative noise term

2009-10-06

arxiv.org/abs/0910.0960v1

Mathematics

Analysis of PDEs

9 pages

Scientific paper

We study diffusion processes corresponding to infinite dimensional semilinear
stochastic differential equations with local Lipschitz drift term and an
arbitrary Lipschitz diffusion coefficient. We prove tightness and Feller
property of the solution to show existence of an invariant measure. As an
application we discuss stochastic reaction diffusion equations.

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