Reflection of Stochastic Evolution Equations in Infinite Dimensional Domains

Zdzisław Brzeźniak; Tusheng Zhang

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arXiv · 2309.01251

Reflection of Stochastic Evolution Equations in Infinite Dimensional Domains

Zdzisław Brzeźniak·Tusheng Zhang

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Abstract

In this paper, we establish the existence and the uniqueness of solutions of stochastic evolution equations (SEEs) with reflection in an infinite dimensional ball. Our framework is sufficiently general to include e.g. the stochastic Navier-Stokes equations.

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Zdzisław Brzeźniak, Tusheng Zhang. 2023-09-03. Reflection of Stochastic Evolution Equations in Infinite Dimensional Domains. https://arxiv.org/abs/2309.01251

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