Analytic smoothness effect of solutions for spatially homogeneous Landau equation

DOI10.1016/j.jde.2009.08.006zbMath1180.35148arXiv0910.1291OpenAlexW1996354300MaRDI QIDQ1046477

Hua Chen, Wei-Xi Li, Chao-Jiang Xu

Publication date: 22 December 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1291

zbMATH Keywords

Cauchy problemBoltzmann equationanalytic regularitysmoothness effecthard potential case

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Boltzmann equations (35Q20)

Related Items

Numerical approximation of the spatially homogeneous Fokker-Planck-Landau equation, Shubin regularity for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential, Entropic structure of Landau's collision kernel, Gelfand-Shilov Smoothing Effect for the Radially Symmetric Spatially Homogeneous Landau Equation under the Hard Potential γ=2, Spectral gap and exponential convergence to equilibrium for a multi-species Landau system, Global hypoelliptic estimates for Landau-type operators with external potential, Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff, The analytic smoothing effect of linear Landau equation with soft potentials, Smoothing effects for the classical solutions to the Landau-Fermi-Dirac equation, Analytic smoothing effect of the spatially inhomogeneous Landau equations for hard potentials, Analytic Gelfand-Shilov smoothing effect of the spatially homogeneous Landau equation with hard potentials, Gelfand–Shilov smoothing effect of the spatially homogeneous Landau equation with moderately soft potential, The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential, Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off, Regularizing effects for the classical solutions to the Landau equation in the whole space, Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials, Phase space analysis of semilinear parabolic equations, Global hypoelliptic estimates for fractional order kinetic equation, Gevrey Class Smoothing Effect for the Prandtl Equation, Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation, The analytic smoothing effect of solutions for the nonlinear spatially homogeneous Landau equation with hard potentials, The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off, Entropy dissipation estimates for the Landau equation in the Coulomb case and applications

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