Shubin Regularity for the Radially Symmetric Spatially Homogeneous Boltzmann Equation with Debye-Yukawa Potential

被引：0

作者：

Glangetas, Leo ^{[1
]}

Li, Haoguang ^{[2
]}

机构：

[1] Univ Rouen, CNRS UMR 6085, Math, F-76801 St Etienne Du Rouvray, France

[2] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 06期

关键词：

Boltzmann equation; shubin regularity; spectral decomposition; Debye-Yukawa potential; CAUCHY-PROBLEM; SHARP REGULARITY; LANDAU; HYPOELLIPTICITY;

D O I：

10.1007/s10473-019-0602-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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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