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- W2942256661 abstract "In this article, we close a gap in the literature by proving existence of invariant measures for reflected stochastic partial differential equations with only one reflecting barrier. This is done by arguing that the sequence $$(u(t,cdot ))_{t ge 0}$$ is tight in the space of probability measures on continuous functions and invoking the Krylov–Bogolyubov theorem. As we no longer have an a priori bound on our solution as in the two-barrier case, a key aspect of the proof is the derivation of a suitable $$L^p$$ bound which is uniform in time." @default.
- W2942256661 created "2019-05-03" @default.
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- W2942256661 date "2019-04-24" @default.
- W2942256661 modified "2023-09-26" @default.
- W2942256661 title "Existence of Invariant Measures for Reflected Stochastic Partial Differential Equations" @default.
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- W2942256661 doi "https://doi.org/10.1007/s10959-019-00906-z" @default.
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