Foundations of the Theory of Semilinear Stochastic Partial Differential Equations
Keyword(s):
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.
2006 ◽
Vol 09
(01)
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pp. 155-168
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Keyword(s):
2020 ◽
Vol 269
(3)
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pp. 2185-2227
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1998 ◽
Vol 73
(2)
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pp. 271-299
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2019 ◽
Vol 267
(11)
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pp. 6480-6538
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2015 ◽
Vol 18
(03)
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pp. 1550021
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2021 ◽
Vol 104
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pp. 113-122
1999 ◽
Vol 17
(5)
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pp. 743-763
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