Foundations of the theory of semilinear stochastic partial differential equations

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Tappe, Stefan: Foundations of the theory of semilinear stochastic partial differential equations. In: International Journal of Stochastic Analysis 2013 (2013), 798549. DOI: https://doi.org/10.1155/2013/798549

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To cite the version in the repository, please use this identifier: https://doi.org/10.15488/1057

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Sum total of downloads: 124




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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.
License of this version: CC BY 3.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2013
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
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1 image of flag of Germany Germany 87 70.16%
2 image of flag of United States United States 19 15.32%
3 image of flag of China China 11 8.87%
4 image of flag of Ukraine Ukraine 1 0.81%
5 image of flag of Taiwan Taiwan 1 0.81%
6 image of flag of Serbia Serbia 1 0.81%
7 image of flag of Kyrgyzstan Kyrgyzstan 1 0.81%
8 image of flag of Hungary Hungary 1 0.81%
9 image of flag of Brazil Brazil 1 0.81%
10 image of flag of Austria Austria 1 0.81%

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