Attractors for SPDE driven by an FBM and nontrival multiplicative noise

Duration: 43 mins 2 secs

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Description:	Schmalfuß, B (Friedrich-Schiller-Universität Jena) Wednesday 12 September 2012, 16:50-17:30


Created:	2012-09-18 14:24
Collection:	Stochastic Partial Differential Equations
Publisher:	Isaac Newton Institute
Copyright:	Schmalfuß, B
Language:	eng (English)


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 Holder 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.

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 Holder 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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