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math.PR2022
Averaging principle for slow-fast systems of stochastic PDEs with rough coefficients
Sandra Cerrai, Yichun Zhu
In this paper, we consider a class of slow-fast systems of stochastic partial differential equations where the nonlinearity in the slow equation is not continuous and unbounded. We…
math.PR2022
Nonlinear random perturbations of PDEs and quasi-linear equations in Hilbert spaces depending on a small parameter
Sandra Cerrai, Giuseppina Guatteri, Gianmario Tessitore
We study a class of quasi-linear parabolic equations defined on a separable Hilbert space, depending on a small parameter in front of the second order term. Through the nonlinear s…
math.PR2022
On the small noise limit in the Smoluchowski-Kramers approximation of nonlinear wave equations with variable friction
Sandra Cerrai, Mengzi Xie
We study the validity of a large deviation principle for a class of stochastic nonlinear damped wave equations, of Klein-Gordon type, in the joint small mass and small noise limit.…