Journal
STOCHASTIC ANALYSIS AND APPLICATIONS
Volume 33, Issue 3, Pages 383-398Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/07362994.2014.993766
Keywords
Exponential mean-square stability.; Mild solution; Weak convergence of induced probability measures; Linear growth condition; Lipschitz condition; Stochastic evolution equation in infinite dimensions
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- COFAA
- EDI from IPN
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This article is concerned with a semilinear McKean-Vlasov type stochastic evolution equation in a real Hilbert space. The main goal of the article is to study the existence and uniqueness of mild solutions, Yosida approximations of mild solutions of such equations, and to deduce the weak convergence of the corresponding induced probability measures. As an application, we also study the exponential stability of mild solutions of such equations.
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