Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation Without Angular Cutoff

DOI10.1080/03605302.2011.625462zbMath1251.35064arXiv1012.4915OpenAlexW2151460626MaRDI QIDQ5389577

Yoshinori Morimoto, Nicolas Lerner, Karel Pravda-Starov

Publication date: 21 April 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4915

zbMATH Keywords

hypoellipticityWick quantizationBoltzmann equation without angular cutoffkinetic equations regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Hypoelliptic equations (35H10) Boltzmann equations (35Q20)

Related Items (9)

Global hypoelliptic estimates for Landau-type operators with external potential ⋮ Spectral and phase space analysis of the linearized non-cutoff Kac collision operator ⋮ Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff ⋮ Global hypoelliptic estimates for fractional order kinetic equation ⋮ Hölder Continuity for a Family of Nonlocal Hypoelliptic Kinetic Equations ⋮ Hypoelliptic estimates in radiative transfer ⋮ Kinetic maximal \(L^2\)-regularity for the (fractional) Kolmogorov equation ⋮ Hermite basis diagonalization for the non-cutoff radially symmetric linearized Boltzmann operator ⋮ The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off

Cites Work

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