Nonlinear diffusion equations with nonlinear gradient noise
Dareiotis, K and Gess, B
(2020)
Nonlinear diffusion equations with nonlinear gradient noise.
Electronic Journal of Probability, 25.
35.
ISSN 1083-6489
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.
Metadata
Item Type:
Article
Authors/Creators:
Dareiotis, K
Gess, B
Copyright, Publisher and Additional Information:
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
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