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

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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