Nonlinear diffusion equations with nonlinear gradient noise

被引：17

作者：

Dareiotis, Konstantinos ^{[1
]}

Gess, Benjamin ^{[2
,3
]}

机构：

[1] Univ Leeds, Sch Math, Leeds LS2 9JT, W Yorkshire, England

[2] Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany

[3] Univ Bielefeld, Fac Math, D-33615 Bielefeld, Germany

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2020年 / 25卷

关键词：

degenerate SPDEs; quasilinear SPDEs; entropy solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; SCALAR CONSERVATION-LAWS; MEAN-FIELD GAMES; WELL-POSEDNESS; DEGENERATE; REGULARITY;

D O I：

10.1214/20-EJP436

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页数：43

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