Stochastic heat equations with logarithmic nonlinearity
Probability
2019-07-10 v1
Abstract
In this paper, we establish the existence and uniqueness of solutions to stochastic heat equations with logarithmic nonlinearity driven by Brownian motion on a bounded domain in the setting of space. The result is valid for all initial values in . The logarithmic Sobolev inequality plays an important role.
Cite
@article{arxiv.1907.03948,
title = {Stochastic heat equations with logarithmic nonlinearity},
author = {Shijie Shang and Tusheng Zhang},
journal= {arXiv preprint arXiv:1907.03948},
year = {2019}
}
Comments
30 pages