Global a priori estimates for the inhomogeneous Landau equation with moderately soft potentials

被引：28

作者：

Cameron, Stephen ^{[1
]}

Silvestre, Luis ^{[1
]}

Snelson, Stanley ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, 5734 S Univ Ave, Chicago, IL 60637 USA

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2018年 / 35卷 / 03期

关键词：

Landau equation; A priori estimates; C-ALPHA REGULARITY; ULTRAPARABOLIC EQUATIONS; BOLTZMANN-EQUATION; CLASSICAL-SOLUTIONS; CUTOFF; BOUNDS;

D O I：

10.1016/j.anihpc.2017.07.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a priori upper bounds for solutions to the spatially inhomogeneous Landau equation in the case of moderately soft potentials, with arbitrary initial data, under the assumption that mass, energy and entropy densities stay under control. Our pointwise estimates decay polynomially in the velocity variable. We also show that if the initial data satisfies a Gaussian upper bound, this bound is propagated for all positive times. (C) 2017 Elsevier Masson SAS. All rights reserved.

引用

页码：625 / 642

页数：18

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