Low regularity solutions to a gently stochastic nonlinear wave equation in nonequilibrium statistical mechanics (Q2485864)

In the paper the global existence of solutions for a wave equation coupled to heat reservoirs, i.e., with noise and dissipation is established. Also it is shown that solutions to an ultra-violet cut-off version of the system of equations under consideration converge as the cut-off is removed. This result is applied to show that the equilibrium Gibbs state is an invariant measure in the case of equilibrium.