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Dareiotis, Konstantinos; Gess, Benjamin

Nonlinear diffusion equations with nonlinear gradient noise. (English) Zbl 1441.60045

Electron. J. Probab. 25, Paper No. 35, 43 p. (2020).
Summary: 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.

Cited in 7 Documents

MSC:

60H15 Stochastic partial differential equations (aspects of stochastic analysis)
35K65 Degenerate parabolic equations
35K59 Quasilinear parabolic equations

Keywords:

degenerate SPDEs; quasilinear SPDEs; entropy solutions
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\textit{K. Dareiotis} and \textit{B. Gess}, Electron. J. Probab. 25, Paper No. 35, 43 p. (2020; Zbl 1441.60045)
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References:

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