Uniform exponential ergodicity of stochastic dissipative systems

0175196 - MU-W 20020084 RIV CZ eng J - Journal Article
Goldys, B. - Maslowski, Bohdan
Uniform exponential ergodicity of stochastic dissipative systems.
Czechoslovak Mathematical Journal. Roč. 126, č. 4 (2001), s. 745-762. ISSN 0011-4642. E-ISSN 1572-9141
R&D Projects: GA ČR GA201/01/1197
Keywords : dissipative system%compact semigroup%exponential ergodicity
Subject RIV: BA - General Mathematics
Impact factor: 0.047, year: 2001

We study ergodic properties of stochastic dissipative systems with additive noise. We show that the system is uniformly exponentially ergodic provided the growth of nonlinearity at infinity is faster than linear. The abstract result is applied to the stochastic reaction diffusion equation in Rd with d<3.
Permanent Link: http://hdl.handle.net/11104/0072183