INVARIANCE OF SUBSPACES UNDER THE SOLUTION FLOW OF SPDE

DOI10.1142/S021902571000395XzbMath1210.60067MaRDI QIDQ3560052

Wei Liu

Publication date: 19 May 2010

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

invariancevariational approachreaction-diffusion equationporous media equation\(p\)-Laplace equationstochastic evolution equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (12)

Well-posedness of stochastic partial differential equations with Lyapunov condition ⋮ Singular-Degenerate Multivalued Stochastic Fast Diffusion Equations ⋮ SPDE in Hilbert space with locally monotone coefficients ⋮ On the Backward Euler Approximation of the Stochastic Allen-Cahn Equation ⋮ The Second Bogolyubov Theorem and Global Averaging Principle for SPDEs with Monotone Coefficients ⋮ Poisson stable solutions for stochastic PDEs driven by Lévy noise ⋮ Existence and uniqueness of solutions to nonlinear evolution equations with locally monotone operators ⋮ Multi-valued, singular stochastic evolution inclusions ⋮ Strong solutions for stochastic partial differential equations of gradient type ⋮ Random attractors for a class of stochastic partial differential equations driven by general additive noise ⋮ Asymptotic couplings by reflection and applications for nonlinear monotone SPDEs ⋮ Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients

Cites Work

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• On the stochastic \(p\)-Laplace equation
• Harnack inequality and applications for stochastic generalized porous media equations
• Stochastic generalized porous media and fast diffusion equations
• Harnack inequality and strong Feller property for stochastic fast-diffusion equations
• Equations aux dérivées partielles stochastiques non linéaires. I
• On the stochastic porous medium equation
• On stochastic squations with respect to semimartingales III
• Large deviation problem for some parabolic itǒ equations
• Strong Solutions of Stochastic Generalized Porous Media Equations: Existence, Uniqueness, and Ergodicity

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