Foundations of the Theory of Semilinear Stochastic Partial Differential Equations

Stefan Tappe

International Journal of Stochastic Analysis, 2013, vol. 2013, 1-25

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:798549

DOI: 10.1155/2013/798549

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