Sharp regularity and Cauchy problem of the spatially homogeneous Boltzmann equation with Debye-Yukawa potential

DOI10.1016/j.jmaa.2016.06.039zbMath1347.35056arXiv1512.06665OpenAlexW2963690648MaRDI QIDQ739539

Hao-Guang Li, Léo Glangetas

Publication date: 18 August 2016

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

Full work available at URL: https://arxiv.org/abs/1512.06665

zbMATH Keywords

spectral decomposition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

Related Items

Shubin regularity for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential, Smoothing effect and Cauchy problem for radially symmetric homogeneous Boltzmann equation with Debye-Yukawa potential of Shubin class initial datum

Cites Work

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• Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation
• Spectral and phase space analysis of the linearized non-cutoff Kac collision operator
• Gevrey regularity of spatially homogeneous Boltzmann equation without cutoff
• Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff
• Cauchy problem for a linearized non-cutoff Boltzmann equation with distribution initial datum
• Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation
• Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff
• Hypoellipticity for infinitely degenerate elliptic operators
• The Boltzmann equation and its applications
• A remark on Cannone-Karch solutions to the homogeneous Boltzmann equation for Maxwellian molecules
• Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation
• Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators
• Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff
• Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff
• Nonlinear Hypoellipticity of Infinite Type
• Infinite energy solutions to the homogeneous Boltzmann equation
• Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces
• Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
• Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff