The analytic smoothing effect of linear Landau equation with soft potentials

DOI10.1007/S10473-023-0617-2arXiv2205.07270MaRDI QIDQ6068778

Hao-Guang Li, Chaojiang Xu

Publication date: 13 November 2023

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.07270

zbMATH Keywords

analytic smoothing effectlinear Landau equationsoft potential

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Cites Work

• Propagation of Gevrey regularity for solutions of Landau equations
• Uncertainty principle and kinetic equations
• Gevrey regularity for solution of the spatially homogeneous Landau equation
• Ultra-analytic effect of Cauchy problem for a class of kinetic equations
• Analytic smoothness effect of solutions for spatially homogeneous Landau equation
• Dispersion relations for the linearized Fokker-Planck equation
• The Gelfand-Shilov smoothing effect for the radially symmetric homogeneous Landau equation with Shubin initial datum
• The Landau equation in a periodic box
• Phase space analysis and functional calculus for the linearized Landau and Boltzmann operators
• The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials
• A remark on the ultra-analytic smoothing properties of the spatially homogeneous Landau equation
• ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES
• Cauchy Problem for the Spatially Homogeneous Landau Equation with Shubin Class Initial Datum and Gelfand--Shilov Smoothing Effect
• On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness

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