Exponential stability of stochastic generalized porous media equations with jump

DOI10.1007/s10483-014-1845-7zbMath1298.60085OpenAlexW2324401977MaRDI QIDQ468661

Bo-ling Guo, Guo Li Zhou

Publication date: 7 November 2014

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-014-1845-7

zbMATH Keywords

stabilityjump processstochastic generalized porous media equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Finite element methods applied to problems in solid mechanics (74S05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items

Ergodicity and Local Limits for Stochastic Local and Nonlocal $p$-Laplace Equations ⋮ Solutions for a class of Hamiltonian systems on time scales with non-local boundary conditions ⋮ Large Deviations for Stochastic Generalized Porous Media Equations Driven by Lévy Noise ⋮ Stochastic generalized porous media equations driven by Lévy noise with increasing Lipschitz nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularity in Sobolev spaces for the fast diffusion and the porous medium equation
• Stochastic generalized porous media equations with Lévy jump
• The ergodicity of stochastic generalized porous media equations with Lévy jump
• Large deviations for stochastic generalized porous media equations
• Non-monotone stochastic generalized porous media equations
• Large time behaviour of solutions of the porous medium equation in bounded domains
• Stability of stochastic differential equations with Markovian switching
• On exponential stability criteria of stochastic partial differential equations
• Weak solutions to stochastic porous media equations
• Stability of a random diffusion with linear drift
• Stochastic differential delay equations with Markovian switching
• Harnack inequality and applications for stochastic generalized porous media equations
• Stochastic generalized porous media and fast diffusion equations
• Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps
• On the stochastic porous medium equation
• The Global Random Attractor for a Class of Stochastic Porous Media Equations
• Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness, and Ergodicity
• Stochastic Partial Differential Equations with Levy Noise
• Stability of Infinite Dimensional Stochastic Differential Equations with Applications
• Stochastic Equations in Infinite Dimensions