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

Year 2021, Volume: 50 Issue: 2, 492 - 510, 11.04.2021

Abdelmajid Issaq , Qiaozhen Ma Ahmed Eshag Mohamed

https://doi.org/10.15672/hujms.614217

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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