无角截断空间齐次玻尔兹曼方程弱解的平滑效应

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2011-04-29 DOI:10.1215/21562261-1625154

Radjesvarane Alexandre, Y. Morimoto, S. Ukai, Chao-Jiang Xu, Tong Yang

引用次数: 49

摘要

本文考虑无角截断的空间齐次玻尔兹曼方程。证明了所有阶有限矩Cauchy问题的$L^1$弱解在正时间下速度变量具有$C^\infty$正则性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Smoothing effect of weak solutions for the spatially homogeneous Boltzmann Equation without angular cutoff

In this paper, we consider the spatially homogeneous Boltzmann equation without angular cutoff. We prove that every $L^1$ weak solution to the Cauchy problem with finite moments of all order acquires the $C^\infty$ regularity in the velocity variable for the positive time.

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.