论文标题

$ l^2 $衰减的线性化兰道方程,带有镜面边界条件

$L^2$ decay for the linearized Landau equation with the specular boundary condition

论文作者

Guo, Yan, Hwang, Hyung Ju, Jang, Jin Woo, Ouyang, Zhimeng

论文摘要

在本文中,我们开发了一种替代方法,以在具有镜面边界条件的有限域中为线性化的Landau方程建立$ l^2 $衰减估计。证明是基于[Guo,Comm。纯应用。 Math。,55(9):1104-1135,2002]和[Guo,Arch。配给。机械。肛门,197(3):713-809,2010]。

In this paper, we develop an alternative approach to establish the $L^2$ decay estimate for the linearized Landau equation in a bounded domain with specular boundary condition. The proof is based on the methodology of proof by contradiction motivated by [Guo, Comm. Pure Appl. Math., 55(9):1104-1135, 2002] and [Guo, Arch. Ration. Mech. Anal., 197(3):713-809, 2010].

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