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  • Hacettepe Journal of Mathematics and Statistics
  • Volume: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 : 67 | Download : 9
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

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