Quasi-invariance of the Gaussian measure for the two-dimensional stochastic cubic nonlinear wave equation

Justin Forlano, Leonardo Tolomeo

We consider the stochastic damped nonlinear wave equation ${\partial }_t^{2}u+{\partial }_{t}u+u-\Delta u+u^3=\sqrt{2}⟨\nabla {⟩}^{-s}\xi$ on the two-dimensional torus $\mathb…