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Existence and Uniqueness of Invariant Measures for Stochastic Evolution Equations with Weakly Dissipative Drifts

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Existence and Uniqueness of Invariant Measures for Stochastic Evolution Equations with Weakly Dissipative Drifts
2.	Creator	Author's name, affiliation, country	Wei Liu; University of Bielefeld
2.	Creator	Author's name, affiliation, country	Jonas M. Toelle; TU Berlin
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	stochastic evolution equation; invariant measure; dissipative; $p$-Laplace equation; fast diffusion equation
3.	Subject	Subject classification	60H15; 60J35; 47D07
4.	Description	Abstract	In this paper, a new decay estimate for a class of stochastic evolution equations with weakly dissipative drifts is established, which directly implies the uniqueness of invariant measures for the corresponding transition semigroups. Moreover, the existence of invariant measures and the convergence rate of corresponding transition semigroup to the invariant measure are also investigated. As applications, the main results are applied to singular stochastic $p$-Laplace equations and stochastic fast diffusion equations, which solves an open problem raised by Barbu and Da Prato in [Stoc. Proc. Appl. 120(2010), 1247-1266].
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2011-08-22
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1643
10.	Identifier	Digital Object Identifier	10.1214/ECP.v16-1643
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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