\(L^{2}\)-regularity of kinetic equations with external potential

DOI10.1016/j.jde.2015.12.022zbMath1336.35113OpenAlexW2229399290MaRDI QIDQ2634207

Wei-Xi Li, Peng Luo, Shuying Tian

Publication date: 8 February 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.12.022

zbMATH Keywords

multiplier methodpotential termhypoelliptic regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for linear first-order PDEs (35F10)

Cites Work

• Global hypoelliptic estimates for Landau-type operators with external potential
• Anisotropic hypoelliptic estimates for Landau-type operators
• Hypoelliptic regularity in kinetic equations.
• Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians
• Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
• Global Hypoellipticity and Compact Resolvent for Fokker-Planck Operator
• Semiclassical Analysis for the Kramers–Fokker–Planck Equation
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