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Invariant measures for stochastic evolution equations in M-type 2 Banach spaces

✍ Scribed by Zdzisław Brzeźniak; Hongwei Long; Isabel Simão

Book ID
105765568
Publisher
Springer
Year
2010
Tongue
English
Weight
287 KB
Volume
10
Category
Article
ISSN
1424-3199

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Invariant measures for dichotomous stoch
Invariant measures for dichotomous stochastic differential equations in Hilbert spaces
✍ Onno Van Gaans; Sjoerd Verduyn Lunel 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 80 KB

We study existence of invariant measures for semilinear stochastic differential equations in Hilbert spaces. We consider infinite dimensional noise that is white in time and colored in space and we assume that the nonlinearities are Lipschitz continuous. We show that if the equation is dichotomous i