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Invariant cones for jump-diffusions in infinite dimensions
Stefan Tappe · 2022-06-28 · via math.PR updates on arXiv.org

In this paper we provide sufficient conditions for stochastic invariance of closed convex cones for stochastic partial differential equations (SPDEs) of jump-diffusion type, and clarify when these conditions are necessary. Our results apply to the positive cone of abstract $L^2$-spaces. Furthermore, we present a series of applications, where we investigate SPDEs arising in natural sciences and economics.

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