ABOUT THE REGULARIZING PROPERTIES OF THE NON-CUT-OFF KAC EQUATION

被引：99

作者：

DESVILLETTES, L

机构：

[1] Department de Mathématiques, Université d'Orléans, Orléans, F-45067

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1995年 / 168卷 / 02期

关键词：

D O I：

10.1007/BF02101556

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove in this work that under suitable assumptions, the solution of the spatially homogeneous non-cut-off Kac equation (or of the spatially homogeneous non cut-off 2D Boltzmann equation with Maxwellian molecules in the radial case) becomes very regular with respect to the velocity variable as soon as the time is strictly positive.

引用

页码：417 / 440

页数：24