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Invariant manifolds with boundary for jump-diffusions. (English) Zbl 1301.60072

Summary: We provide necessary and sufficient conditions for stochastic invariance of finite dimensional submanifolds with boundary in Hilbert spaces for stochastic partial differential equations driven by Wiener processes and Poisson random measures.

MSC:

60H15 Stochastic partial differential equations (aspects of stochastic analysis)
60G17 Sample path properties
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