Nonlinear diffusion equations with nonlinear gradient noise
Probability
2020-06-17 v3 Analysis of PDEs
Abstract
We prove the existence and uniqueness of entropy solutions for nonlinear diffusion equations with nonlinear conservative gradient noise. As particular applications our results include stochastic porous media equations, as well as the one-dimensional stochastic mean curvature flow in graph form.
Keywords
Cite
@article{arxiv.1811.08356,
title = {Nonlinear diffusion equations with nonlinear gradient noise},
author = {Konstantinos Dareiotis and Benjamin Gess},
journal= {arXiv preprint arXiv:1811.08356},
year = {2020}
}
Comments
small changes according to the published version