Existence of random attractors for strongly damped wave equations with multiplicative noise unbounded domain

Authors : Abdelmajid ISSAQ, Qiaozhen MA, Ahmed Eshag MOHAMED

Pages : 492-510

Doi:10.15672/hujms.614217

View : 16 | Download : 4

Publication Date : 2021-04-11

Article Type : Research Paper

Abstract :In this paper, we establish the existence of a random attractor for a random dynamical system generated by the non-autonomous wave equation with strong damping and multiplicative noise when the nonlinear term satisfies a critical growth condition.
Keywords : stochastic strong damped wave equation, asymptotic behavior of solutions, random attractor, random dynamical system