Large deviations of stochastic heat equations with logarithmic nonlinearity
Probability
2022-07-07 v1
Abstract
In this paper, we establish a large deviation principle for the solutions to the stochastic heat equations with logarithmic nonlinearity driven by Brownian motion, which is neither locally Lipschitz nor locally monotone. Nonlinear versions of Gronwall's inequalities and Log-Sobolev inequalities play an important role.
Cite
@article{arxiv.2207.02385,
title = {Large deviations of stochastic heat equations with logarithmic nonlinearity},
author = {Tianyi Pan and Shijie Shang and Tusheng Zhang},
journal= {arXiv preprint arXiv:2207.02385},
year = {2022}
}
Comments
27 pages