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Random invariant manifolds for ill-posed stochastic evolution equations

Alexandra Neamţu

Faculty of Mathematics, Technical University of Munich, Boltzmannstr. 3, 85748 Garching bei München, Germany

E-mail Address: alexandra.neamtu@.tum.de

https://doi.org/10.1142/S0219493720500136Cited by:8 (Source: Crossref)

Abstract

We establish the existence of random stable and unstable manifolds for ill-posed stochastic partial differential equations (SPDEs). Namely, we assume that the linear part does not generate a $C_{0}$ -semigroup. Using the theory of integrated semigroups, we are able to analyze the long-time behavior of random dynamical systems generated by such SPDEs.

Keywords:

AMSC: 37L55, 35K90

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