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2020 Large deviations for stochastic porous media equations
Rangrang Zhang
Electron. J. Probab. 25: 1-42 (2020). DOI: 10.1214/20-EJP556

Abstract

In this paper, we establish the Freidlin-Wentzell type large deviation principle 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. "Large deviations for stochastic porous media equations." Electron. J. Probab. 25 1 - 42, 2020. https://doi.org/10.1214/20-EJP556

Information

Received: 23 September 2019; Accepted: 18 November 2020; Published: 2020
First available in Project Euclid: 23 December 2020

Digital Object Identifier: 10.1214/20-EJP556

Subjects:
Primary: 60F10
Secondary: 35R60, 60H15

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