Global regularity estimates for the Boltzmann equation without cut-off

IF 3.5 1区数学 Q1 MATHEMATICS

Journal of the American Mathematical Society Pub Date : 2019-09-27 DOI:10.1090/JAMS/986

C. Imbert, L. Silvestre

引用次数: 44

Abstract

We derive $C^\infty$ a priori estimates for solutions of the inhomogeneous Boltzmann equation without cut-off, conditional to point-wise bounds on their mass, energy and entropy densities. We also establish decay estimates for large velocities, for all derivatives of the solution.

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无截断Boltzmann方程的全局正则性估计

我们推导了$C^\infty$非齐次玻尔兹曼方程的无截止解的先验估计，条件是它们的质量，能量和熵密度的点边界。我们还建立了大速度下的衰减估计，对于解的所有导数。

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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来源期刊

Journal of the American Mathematical Society 数学-数学

CiteScore

7.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles of the highest quality in all areas of pure and applied mathematics.