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arXiv · 1907.02352

Foundations of the theory of semilinear stochastic partial differential equations

Stefan Tappe
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Abstract

The goal of this review article is to provide a survey about the foundations of semilinear stochastic partial differential equations. In particular, we provide a detailed study of the concepts of strong, weak and mild solutions, establish their connections, and review a standard existence- and uniqueness result. The proof of the existence result is based on a slightly extended version of the Banach fixed point theorem.

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Stefan Tappe. 2019-07-04. Foundations of the theory of semilinear stochastic partial differential equations. https://doi.org/10.1155/2013%2F798549

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