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arXiv · 2003.14213

Large deviations for stochastic porous media equations

Rangrang Zhang
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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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Rangrang Zhang. 2020-03-29. Large deviations for stochastic porous media equations. https://arxiv.org/abs/2003.14213

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