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Foundations of the theory of semilinear stochastic partial differential equations

Foundations of the theory of semilinear stochastic partial differential equations

Authors :
Stefan Tappe
Source :
International Journal of Stochastic Analysis 2013 (2013), International Journal of Stochastic Analysis, Vol 2013 (2013)
Publication Year :
2019
Publisher :
arXiv, 2019.

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.<br />Comment: 36 pages

Details

Database :
OpenAIRE
Journal :
International Journal of Stochastic Analysis 2013 (2013), International Journal of Stochastic Analysis, Vol 2013 (2013)
Accession number :
edsair.doi.dedup.....231593b68d906fc6845fba90fc03a368
Full Text :
https://doi.org/10.48550/arxiv.1907.02352