- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 2
- Existence of random attractors for strongly damped wave equations with multiplicative noise unbounde...
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 : 13 | Download : 4
Publication Date : 2021-04-11
Article Type : Research
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