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Large deviations for stochastic porous media equations

Published 29 Mar 2020 in math.PR | (2003.14213v1)

Abstract: In this paper, we establish the Freidlin-Wentzell type large deviation principles for porous medium-type equations perturbed by small multiplicative noise. The porous medium operator $\Delta (|u|{m-1}u)$ is allowed. Our proof is based on weak convergence approach.

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