Stochastic generalized porous media equations with Lévy jump

DOI10.1007/s10114-011-9194-8zbMath1225.76275OpenAlexW2031438749MaRDI QIDQ644606

Guo Li Zhou, Zhen Ting Hou

Publication date: 4 November 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9194-8

zbMATH Keywords

Lévy processesstochastic porous medium equation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (5)

Global well-posedness of a class of stochastic equations with jumps ⋮ Large Deviations for Stochastic Generalized Porous Media Equations Driven by Lévy Noise ⋮ The ergodicity of stochastic partial differential equations with Lévy jump ⋮ Exponential stability of stochastic generalized porous media equations with jump ⋮ Stochastic generalized porous media equations driven by Lévy noise with increasing Lipschitz nonlinearities

Cites Work

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• Invariant measures of generalized stochastic porous medium equations
• Weak solutions to stochastic porous media equations
• Stochastic generalized porous media and fast diffusion equations
• On the stochastic porous medium equation
• Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness, and Ergodicity
• Stochastic Equations in Infinite Dimensions

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