Asymptotic behavior for a stochastic wave equation with dynamical boundary conditions (Q432578)

For a stochastic sine-Gordon equation on a bounded domain in \(\mathbb R^3\) with smooth boundary, where the perturbation is given by a trace class Wiener process, and with boundary conditions given by a stochastic wave equation with another independent trace class Wiener process, the paper provides a theorem on the global existence of solutions. Furthermore, existence and uniqueness of an invariant measure for the associated Markov semigroup is asserted.