On the rates of decay to equilibrium in degenerate and defective Fokker-Planck equations

DOI10.1016/j.jde.2018.01.052zbMath1387.35579arXiv1709.10216OpenAlexW2963969013MaRDI QIDQ1706625

Tobias Wöhrer, Amit Einav, Anton Arnold

Publication date: 22 March 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.10216

zbMATH Keywords

spectral theoryFokker-Planck equationslong time behaviournon-symmetric hypercontractivity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Markov semigroups and applications to diffusion processes (47D07) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Hypoelliptic equations (35H10) Second-order parabolic equations (35K10) Fokker-Planck equations (35Q84)

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Cites Work

• Unnamed Item
• Unnamed Item
• Stability estimates for semigroups on Banach spaces
• Exponential return to equilibrium for hypoelliptic quadratic systems
• Hypercontractivity for functional stochastic differential equations
• Hypercontractivity and applications for stochastic Hamiltonian systems
• Hypercontractivity for functional stochastic partial differential equations
• The Fokker-Planck equation. Methods of solution and applications.
• The free Markoff field
• Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators
• Hypoelliptic second order differential equations
• ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
• Large-time behavior in non-symmetric Fokker-Planck equations
• Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
• Logarithmic Sobolev Inequalities
• One-Parameter Semigroups for Linear Evolution Equations
• Hypercontractivity properties of nonsymmetric ornstein-uhlenbeck semigroups in hilbert spaces
• Weakly self-interacting velocity jump processes for bacterial chemotaxis and adaptive algorithms
• Analysis and Geometry of Markov Diffusion Operators
• On Nonnegative Solutions of the Equation $AD + DA' = - C$

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