Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off

DOI10.3934/krm.2020036zbMath1451.35101OpenAlexW3046964539MaRDI QIDQ2208700

Lvqiao Liu, Wei-Xi Li

Publication date: 3 November 2020

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2020036

zbMATH Keywords

Boltzmann equationweighted estimatesubelliptic estimatenon cut-offGelfand-Shilov regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hypoelliptic equations (35H10) Boltzmann equations (35Q20)

Related Items (1)

Propagation of Gevrey regularity for solution of non-cutoff Boltzmann equation

Cites Work

• Unnamed Item
• Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation
• Gevrey smoothing effect of solutions for spatially homogeneous nonlinear Boltzmann equation without angular cutoff
• The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential
• The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions
• Regularizing effect and local existence for the non-cutoff Boltzmann equation
• Propagation of Gevrey regularity for solutions of Landau equations
• Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff
• Uncertainty principle and kinetic equations
• Littlewood-Paley theory and regularity issues in Boltzmann homogeneous equations. II. Non cutoff case and non Maxwellian molecules
• Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff
• Ultra-analytic effect of Cauchy problem for a class of kinetic equations
• Analytic smoothness effect of solutions for spatially homogeneous Landau equation
• Regularity estimates via the entropy dissipation for the spatially homogeneous Boltzmann equation without cut-off
• Entropy dissipation and long-range interactions
• About the regularizing properties of the non-cut-off Kac equation
• The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space
• The Cauchy problem for the radially symmetric homogeneous Boltzmann equation with Shubin class initial datum and Gelfand-Shilov smoothing effect
• Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules
• Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation
• Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum
• Gelfand-Shilov smoothing properties of the radially symmetric spatially homogeneous Boltzmann equation without angular cutoff
• Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff
• Global classical solutions of the Boltzmann equation without angular cut-off
• Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff
• Régularité et compacité pour des noyaux de collision de Boltzmann sans troncature angulaire
• Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules
• On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
• LITTLEWOOD–PALEY THEORY AND REGULARITY ISSUES IN BOLTZMANN HOMOGENEOUS EQUATIONS I: NON-CUTOFF CASE AND MAXWELLIAN MOLECULES

This page was built for publication: Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off