English

Large deviations for stochastic porous media equations

Probability 2020-04-01 v1

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 Δ(um1u)\Delta (|u|^{m-1}u) is allowed. Our proof is based on weak convergence approach.

Keywords

Cite

@article{arxiv.2003.14213,
  title  = {Large deviations for stochastic porous media equations},
  author = {Rangrang Zhang},
  journal= {arXiv preprint arXiv:2003.14213},
  year   = {2020}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1806.02955

R2 v1 2026-06-23T14:33:47.938Z