Gevrey regularity of solutions to the non-cutoff homogeneous Boltzmann equation for soft potential with strong singularity

DOI10.1016/J.JMAA.2015.10.073zbMath1330.35285OpenAlexW1832760222MaRDI QIDQ892361

Shi-you Lin

Publication date: 18 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.10.073

zbMATH Keywords

Gevrey regularitynon-cutoffsoft potentialhomogeneous Boltzmann equationstrong singularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boltzmann equations (35Q20)

Cites Work

• Gevrey regularity of spatially homogeneous Boltzmann equation without cutoff
• Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff
• Smoothing estimates for Boltzmann equation with full-range interactions: spatially homogeneous case
• The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions
• Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff
• Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation
• Gevrey regularity for solution of the spatially homogeneous Landau equation
• Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff
• Ultra-analytic effect of Cauchy problem for a class of kinetic equations
• Gevrey regularity for the noncutoff nonlinear homogeneous Boltzmann equation with strong singularity
• Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation
• Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations

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