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Quasi-invariance of the Gaussian measure for the two-dimensional stochastic cubic nonlinear wave equation
Justin Forlano1,2, Leonardo Tolomeo2
1School of Mathematics, Monash University, VIC 3800, Australia.
Stochastic Partial Differential Equations : Analysis and Computations
|July 6, 2026
Abstract:
We consider the stochastic damped nonlinear wave equation on the two-dimensional torus , where denotes a space-time white noise and . We show that the measure corresponding to the unique invariant measure for the flow of the associated linear equation is quasi-invariant under the nonlinear stochastic flow.
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