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math.PR2023
Well-posedness and invariant measure for quasilinear parabolic SPDE on a bounded domain
Mengzi Xie
We study quasilinear parabolic stochastic partial differential equations with general multiplicative noise on a bounded domain in , with homogeneous Dirichlet bound…
math.PR2023
On the small-mass limit for stationary solutions of stochastic wave equations with state dependent friction
Sandra Cerrai, Mengzi Xie
We investigate the convergence, in the small mass limit, of the stationary solutions of a class of stochastic damped wave equations, where the friction coefficient depends on the s…