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SUMMARY:Attractors for SPDE driven by an FBM and nontrival multiplicative 
 noise - Schmalfu\, B (Friedrich-Schiller-Universitt Jena)
DTSTART:20120912T155000Z
DTEND:20120912T163000Z
UID:TALK39694@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:First we prove existence and uniqueness for solutions of SPDE 
 driven by an FBM ($H>1/2$) with nontrivial multiplicative noise in the spa
 ce of H{"o}lder continuous functions. Here $A$ is the negative generator o
 f an analytic semigroup and $G$ satisfies regularity conditions. Later we 
 use these solutions to generate a random dynamical system. This random dyn
 amical system is smoothing and dissipative. These two properties then allo
 w to conclude that this the SPDE has a random attractor.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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