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Smoothness of classical solutions to the Vlasov-Poisson-Landau system

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Publication:958340
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DOI10.3934/krm.2008.1.369zbMath1157.35329OpenAlexW2321512936MaRDI QIDQ958340

Yemin Chen

Publication date: 3 December 2008

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

Full work available at URL: https://doi.org/10.3934/krm.2008.1.369


zbMATH Keywords

smoothnesshypoelliptic equationVlasov-Poisson-Landau systemaveraging lemmas


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of plasmas (82D10)


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Smoothing effects for classical solutions of the full Landau equation ⋮ Smoothing effects for weak solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials ⋮ Regularizing effect and local existence for the non-cutoff Boltzmann equation ⋮ Smoothing effects for classical solutions of the relativistic Landau-Maxwell system ⋮ Ultra-analytic effect of Cauchy problem for a class of kinetic equations ⋮ Regularity of solutions for the Boltzmann equation without angular cutoff



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