Strong and weak rates of convergence are derived for the Smoluchowski-Kramers approximation of stochastic damped semilinear wave equations to semilinear heat equations, with rates of 1 for trace-class noise and 1/2 (strong) / 1 (weak) for space-time white noise in 1D.
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Strong and weak rates of convergence in the Smoluchowski--Kramers approximation for stochastic partial differential equations
Strong and weak rates of convergence are derived for the Smoluchowski-Kramers approximation of stochastic damped semilinear wave equations to semilinear heat equations, with rates of 1 for trace-class noise and 1/2 (strong) / 1 (weak) for space-time white noise in 1D.