Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation

DOI10.1016/j.jfa.2015.04.017zbMath1405.35018arXiv1409.4968OpenAlexW2963329595MaRDI QIDQ2347082

Karel Pravda-Starov, Chao-Jiang Xu, Nicolas Lerner, Yoshinori Morimoto

Publication date: 26 May 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4968

zbMATH Keywords

hypoellipticityGevrey regularityKac equationGelfand-Shilov regularity

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Hypoelliptic equations (35H10) Boltzmann equations (35Q20)

Related Items

Semiclassical Gevrey operators and magnetic translations ⋮ Global existence of non-cutoff Boltzmann equation in weighted Sobolev space ⋮ From semigroups to subelliptic estimates for quadratic operators ⋮ Global Solution for the Spatially Inhomogeneous Non-cutoff Kac Equation ⋮ Microlocal analysis for Gelfand-Shilov spaces ⋮ Analytic smoothing effect of the spatially inhomogeneous Landau equations for hard potentials ⋮ On the anti-Wick symbol as a Gelfand-Shilov generalized function ⋮ Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules ⋮ Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off ⋮ Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports ⋮ Smoothing properties of fractional Ornstein-Uhlenbeck semigroups and null-controllability ⋮ The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space ⋮ 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 of the Cauchy problem for Fokker-Planck equation ⋮ Regularity of Non-cutoff Boltzmann Equation with Hard Potential ⋮ The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off

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