Quasi-invariance of the Gaussian measure for the two-dimensional stochastic cubic nonlinear wave equation
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We consider the stochastic damped nonlinear wave equation ∂ t 2 u + ∂ t u + u - Δ u + u 3 = 2 ⟨ ∇ ⟩ - s ξ on the two-dimensional torus T 2 , where ξ denotes a space-time white noise and s > 0 . We show that t... ...
