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Attractors for SPDE driven by an FBM and nontrival multiplicative noise

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If you have a question about this talk, please contact Mustapha Amrani .

Stochastic Partial Differential Equations (SPDEs)

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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