Invariant Measures for Stochastic PDE's in Unbounded Domains

Abstract

We study stochastically forced semilinear parabolic PDE's of the Ginzburg-Landau type. The class of forcings considered are white noises in time and colored smooth noises in space. Existence of the dynamics in $L^{\infty }$, as well as existence of an invariant measure are proven. We also show that the solutions are with high probability analytic in a strip around the real axis and give estimates on the width of that strip.

20 pages, no figs

References in corpus (1)

• Entropy Production in Non-Linear, Thermally Driven Hamiltonian Systems

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