Invariant manifolds with boundary for jump-diffusions

Abstract

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.Comment: 59 pages decomposing into a main article appearing in EJP (26 pages) and an Appendix (33 pages), which will serve as electronic Appendix for the publicatio