Variational methods for the kinetic Fokker-Planck equation
DOI10.2140/apde.2024.17.1953zbMATH Open1547.3568MaRDI QIDQ6596280
Dallas Albritton, Scott N. Armstrong, Jean-Christophe Mourrat, Matthew D. Novack
Publication date: 2 September 2024
Published in: Analysis \& PDE (Search for Journal in Brave)
Poincaré inequalityenhancementconvergence to equilibriumhypoelliptic diffusionhypoelliptic equationkinetic Fokker-Planck equation
Smoothness and regularity of solutions to PDEs (35B65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Hypoelliptic equations (35H10) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Fokker-Planck equations (35Q84)
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