Regularity of the spatially homogenous fractional Kramers-Fokker-Planck equation

DOI10.1016/j.jmaa.2023.127496arXiv2212.14175MaRDI QIDQ6115663

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Publication date: 10 August 2023

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

Full work available at URL: https://arxiv.org/abs/2212.14175

zbMATH Keywords

Gevrey regularityGelfand-Shilov spaceKramers-Fokker-Planck equation

Mathematics Subject Classification ID

Markov processes (60Jxx) Qualitative properties of solutions to partial differential equations (35Bxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Cites Work

• Unnamed Item
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• Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff
• Compact sets in the space \(L^ p(0,T;B)\)
• Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
• Zufällige Bewegungen. (Zur Theorie der Brownschen Bewegung.)
• Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
• Semiclassical analysis for diffusions and stochastic processes
• Large-time asymptotics of solutions to the Kramers-Fokker-Planck equation with a short-range potential
• Hypoelliptic second order differential equations
• Hypocoercivity
• Semiclassical Analysis for the Kramers–Fokker–Planck Equation
• Brownian motion in a field of force and the diffusion model of chemical reactions
• Global-in-Time $L^p−L^q$ Estimates for Solutions of the Kramers-Fokker-Planck Equation

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