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Title: On the Smoluchowski-Kramers approximation of infinite dimensional systems with state-dependent damping
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Abstract: We study a class of stochastic nonlinear damped wave equations endowed with Dirichlet boundary conditions. We show that the Smoluchowski-Kramers approximation describes the convergence of solutions of the stochastic wave equations to the solution of a quasilinear stochastic parabolic equation endowed with Dirichlet boundary conditions. This is a joint work with Sandra Cerrai from UMD.

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