SHUBIN REGULARITY FOR THE RADIALLY SYMMETRIC SPATIALLY HOMOGENEOUS BOLTZMANN EQUATION WITH DEBYE-YUKAWA POTENTIAL

被引：0

作者：

Lo GLANGETAS ^{[1
]}

李浩光 ^{[2
]}

机构：

[1] Université de Rouen

[2] School of Mathematics and Statistics, South-central University for Nationalities

来源：

Acta Mathematica Scientia | 2019年 / 39卷 / 06期

关键词：

Boltzmann equation; shubin regularity; spectral decomposition; Debye-Yukawa potential;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

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.

引用

页码：1487 / 1507

页数：21

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