ENTROPY DISSIPATION ESTIMATES FOR THE LANDAU EQUATION WITH COULOMB POTENTIALS

被引：0
|
作者：
Ji, Sehyun [1 ]
机构：
[1] Univ Chicago, Chicago, IL 60637 USA
来源：
KINETIC AND RELATED MODELS | 2025年 / 18卷 / 03期
关键词：
The Landau-Coulomb equation; entropy dissipation; the weighted Lebesgue norm; a priori estimate; the Landau equation with very soft potentials; SPATIALLY HOMOGENEOUS BOLTZMANN; REGULARITY;
D O I：
10.3934/krm.2024020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a lower bound for the entropy dissipation of the Landau equation with Coulomb potentials by a weighted Lebesgue norm L--5/3(3). In particular, we enhance the weight exponent from -5, which was established by Desvillettes in [11], to -5/3. Moreover, we prove that the weighted Lebesgue norm L--5/3(3) is optimal for both exponents.
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页码：368 / 388
页数：21
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