Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise

The dynamical behavior of a stochastic wave equation on a bounded domain in R3R3 with smooth boundary, for which the nonlinear damping has a critical cubic growth rate, is investigated. Its dissipativeness in higher-energy spaces Ws,2×Ws−1,2Ws,2×Ws−1,2 for 1