UNIQUENESS OF BOUNDED SOLUTIONS FOR THE HOMOGENEOUS RELATIVISTIC LANDAU EQUATION WITH COULOMB INTERACTIONS

被引：4
作者：
Strain, Robert M. [1 ]
Wang, Zhenfu [1 ]
机构：
[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2020年 / 78卷 / 01期
关键词：
Relativistic Landau equation; weak solutions; stochastic representation; uniqueness; Wasserstein distance; CLASSICAL-SOLUTIONS; BOLTZMANN-EQUATION; EXPONENTIAL DECAY; HARD POTENTIALS; SOFT POTENTIALS; STABILITY; SYSTEM;
D O I：
10.1090/qam/1545
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the uniqueness of weak solutions to the spatially homogeneous special relativistic Landau equation under the conditional assumption that the solution satisfies (p(0))F-7(t, p) is an element of L-1([0, T]; L-infinity). The existence of standard weak solutions to the relativistic Landau equation has been shown recently in [J. Funct. Anal. 277 (2019), pp. 1139-1201].
引用
收藏
页码：107 / 145
页数：39
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