Yosida approximations for multivalued stochastic partial differential equations driven by Lévy noise on a Gelfand triple

DOI10.1016/j.jmaa.2013.08.016zbMath1316.60107OpenAlexW1982906034MaRDI QIDQ2260407

Wei Liu, Matthias Stephan

Publication date: 10 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.08.016

zbMATH Keywords

maximal monotone operatorporous media equationLévy noiseYosida approximationGelfand triplemultivalued stochastic partial differential equations

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic analysis (60H99)

Related Items (5)

\(L^{p}\)-strong convergence of the averaging principle for slow-fast SPDEs with jumps ⋮ Stochastic PDEs via convex minimization ⋮ Strong averaging principle for two-time-scale non-autonomous stochastic FitzHugh-Nagumo system with jumps ⋮ Well-posedness of monotone semilinear SPDEs with semimartingale noise ⋮ Strong averaging principle for slow-fast SPDEs with Poisson random measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• SPDE in Hilbert space with locally monotone coefficients
• Well posedness and asymptotic behavior for stochastic reaction-diffusion equations with multiplicative Poisson noise
• Uniform large deviations for multivalued stochastic differential equations with Poisson jumps
• Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise
• Stochastic porous media equations and self-organized criticality
• Diffusion equation for multivalued stochastic differential equations
• Maximal regularity for stochastic convolutions driven by Lévy processes
• Skorohod problem and multivalued stochastic evolution equations in Banach spaces
• Exponential ergodicity of non-Lipschitz multivalued stochastic differential equations
• Ergodicity for nonlinear stochastic evolution equations with multiplicative Poisson noise
• Finite time extinction for solutions to fast diffusion stochastic porous media equations
• Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise
• Nonlinear random equations involving operators of monotone type
• Nonlinear random operator equations and inequalities in Banach spaces
• Convex analysis and measurable multifunctions
• Nonlinear random equations with monotone operators in Banach spaces
• Multivalued Skorohod problem
• Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift
• Analysis and control of nonlinear infinite dimensional systems
• A concise course on stochastic partial differential equations
• Stochastic generalized porous media and fast diffusion equations
• First exit times of SDEs driven by stable Lévy processes
• ON UNIQUENESS OF MILD SOLUTIONS FOR DISSIPATIVE STOCHASTIC EVOLUTION EQUATIONS
• EXISTENCE, UNIQUENESS AND REGULARITY w.r.t. THE INITIAL CONDITION OF MILD SOLUTIONS OF SPDEs DRIVEN BY POISSON NOISE
• LOCAL WELL-POSEDNESS OF MUSIELA’S SPDE WITH LÉVY NOISE
• Lévy Processes and Stochastic Calculus
• STRONG SOLUTIONS FOR STOCHASTIC POROUS MEDIA EQUATIONS WITH JUMPS
• On stochastic equations with respect to semimartingales I.^†
• On stochastics equations with respect to semimartingales ii. itô formula in banach spaces
• On stochastic squations with respect to semimartingales III
• Measurable relations
• Stochastic variational inequalities in infinite dimensional spaces
• Yosida approximations for multivalued stochastic differential equations
• Stochastic Partial Differential Equations with Levy Noise
• Deterministic and Stochastic Differential Equations in Hilbert Spaces Involving Multivalued Maximal Monotone Operators
• Nonlinear Differential Equations of Monotone Types in Banach Spaces

This page was built for publication: Yosida approximations for multivalued stochastic partial differential equations driven by Lévy noise on a Gelfand triple