Abstract:

A strongly damped stochastic sineGordon equation is considered. By introducing weight norm and splitting positivity of the linear operator in the corresponding evolution equation of the first order with respect to time, existence of a compact random attractor is shown for a stochastic dynamical system generated by strongly damped sineGordon equations with white noise.

Key words: random attractor, stochastic differential equation, Wiener process

strongly damped