### Attractors for SPDE driven by an FBM and nontrival multiplicative noise

Schmalfuß, B *(Friedrich-Schiller-Universität Jena)*

Wednesday 12 September 2012, 16:50-17:30

Seminar Room 1, Newton Institute

#### Abstract

First we prove existence and uniqueness for solutions of SPDE driven by an FBM ($H>1/2$) with nontrivial multiplicative noise in the space of H{\"o}lder continuous functions. Here $A$ is the negative generator of an analytic semigroup and $G$ satisfies regularity conditions. Later we use these solutions to generate a random dynamical system. This random dynamical system is smoothing and dissipative. These two properties then allow to conclude that this the SPDE has a random attractor.

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