Uniform exponential ergodicity of stochastic dissipative systems

0175196 - MU-W 20020084 RIV CZ eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA201/01/1197
Klíčová slova: dissipative system%compact semigroup%exponential ergodicity
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.047, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0072183