Large deviations for stochastic porous media equations

preprint2020arXivOpen access

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 $Δ(|u|^{m-1}u)$ is allowed. Our proof is based on weak convergence approach.

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Large deviations for stochastic porous media equations

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