Invariant measures for stochastic nonlinear beam and wave equations

0453412 - ÚTIA 2016 RIV US eng J - Článek v odborném periodiku
Brzezniak, Z. - Ondreját, Martin - Seidler, Jan
Invariant measures for stochastic nonlinear beam and wave equations.
Journal of Differential Equations. Roč. 260, č. 5 (2016), s. 4157-4179. ISSN 0022-0396. E-ISSN 1090-2732
Grant CEP: GA ČR GAP201/10/0752
Institucionální podpora: RVO:67985556
Klíčová slova: stochastic partial differential equation * stochastic beam equation * stochastic wave equation * invariant measure
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.988, rok: 2016
http://library.utia.cas.cz/separaty/2016/SI/ondrejat-0453412.pdf

Existence of an invariant measure for a stochastic extensible beam equation and for a stochastic damped wave equation with polynomial nonlinearities is proved. It is shown first that the corresponding transition semigroups map the space of all bounded sequentially weakly continuous functions on the state space into itself and then by a Lyapunov functions approach solutions bounded in probability are found.
Trvalý link: http://hdl.handle.net/11104/0257064