Smoothing Effects for the Classical Solutions to the Landau-Fermi-Dirac Equation

Citation:

Shuangqian LIU.Smoothing Effects for the Classical Solutions to the Landau-Fermi-Dirac Equation[J].Chinese Annals of Mathematics B,2012,33(6):857~876
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Authors:

Shuangqian LIU;

Foundation:

the National Natural Science Foundation of China (No. 11101188).
Abstract: The smoothness of the solutions to the full Landau equation for Fermi-Dirac particles is investigated. It is shown that the classical solutions near equilibrium to the Landau-Fermi-Dirac equation have a regularizing effects in all variables (time, space and velocity), that is, they become immediately smooth with respect to all variables.

Keywords:

Landau-Fermi-Dirac equation, Classical solutions, Smoothing effect

Classification:

35Q99, 76P05, 82C40
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