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Nonlinear diffusion equations with nonlinear gradient noise

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arxiv 1811.08356 v3 pith:VUPVKNAY submitted 2018-11-20 math.PR math.AP

Konstantinos Dareiotis , Benjamin Gess This is my paper · ORCID
classification math.PRmath.AP
keywords nonlinearequationsdiffusiongradientnoisestochasticapplicationsconservative
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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.

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  1. Dynamics of Stochastic Reaction-Diffusion Equations

    math.PR 2019-08 conditional novelty 2.0 of 10

    This survey maps solution theory and dynamics of stochastic reaction-diffusion equations, reporting known results rather than proving new ones.

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