Abstract

This work is concerned with the asymptotic dynamical behavior for aweakly damped stochastic nonlinear wave equation with dynamicalboundary conditions. The white noises appear both in the model andin the dynamical boundary condition. Since the energy relation ofthis stochastic system does not directly imply the a priori estimateof the solution, we propose a pseudo energy equation to infer almostsure boundedness of the solution. Then a unique invariant measureis shown to exist for the system.

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