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
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.
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页码:417 / 440
页数:24
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