Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise
Analysis of PDEs
2019-01-09 v3 Probability
Abstract
We prove the pathwise well-posedness of stochastic porous media and fast diffusion equations driven by nonlinear, conservative noise. As a consequence, the generation of a random dynamical system is obtained. This extends results of the second author and Souganidis, who considered analogous spatially homogeneous and first-order equations, and earlier works of Lions, Perthame, and Souganidis.
Cite
@article{arxiv.1712.05775,
title = {Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise},
author = {Benjamin Fehrman and Benjamin Gess},
journal= {arXiv preprint arXiv:1712.05775},
year = {2019}
}
Comments
57 pages