Random attractors for stochastic retarded strongly damped wave equations with additive noise on bounded domains

Abstract

In this paper we study the asymptotic behavior for a class of stochastic retarded strongly damped wave equation with additive noise on a bounded smooth domain in ℝd. We get the existence of the random attractor for the random dynamical systems associated with the equation.

Keywords

• stochastic wave function
• time-delay
• random attractor
• random dynamical system
• additive noise
• 35b40
• 35b41
• 35l05
• 35l20