摘要
In this work, we study the Cauchy problem for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential. We prove that this Cauchy problem enjoys the same smoothing effect as the Cauchy problem defined by the evolution equation associated to a fractional logarithmic harmonic oscillator. To be specific, we can prove the solution of the Cauchy problem belongs to Shubin spaces.
In this work, we study the Cauchy problem for the radially symmetric spatially homogeneous Boltzmann equation with Debye-Yukawa potential. We prove that this Cauchy problem enjoys the same smoothing effect as the Cauchy problem defined by the evolution equation associated to a fractional logarithmic harmonic oscillator. To be specific, we can prove the solution of the Cauchy problem belongs to Shubin spaces.
作者
Léo GLANGETAS
李浩光
Leo GLANGETAS;Haoguang LI(Universite de Rouen,CNRS UMR 6085,Mathematiques 76801 Saint-Etienne du Rouvray,France;School of Mathematics and Statistics,South-central University for Nationalities,Wuhan 430074,China)
基金
supported by the Natural Science Foundation of China(11701578)
