Translator Disclaimer
2020 Nonlinear diffusion equations with nonlinear gradient noise
Konstantinos Dareiotis, Benjamin Gess
Electron. J. Probab. 25: 1-43 (2020). DOI: 10.1214/20-EJP436

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.

Citation

Download Citation

Konstantinos Dareiotis. Benjamin Gess. "Nonlinear diffusion equations with nonlinear gradient noise." Electron. J. Probab. 25 1 - 43, 2020. https://doi.org/10.1214/20-EJP436

Information

Received: 7 May 2019; Accepted: 28 February 2020; Published: 2020
First available in Project Euclid: 25 March 2020

zbMATH: 1441.60045
MathSciNet: MR4089785
Digital Object Identifier: 10.1214/20-EJP436

Subjects:
Primary: 35K59, 35K65, 60H15

JOURNAL ARTICLE
43 PAGES


SHARE
Vol.25 • 2020
Back to Top