Regularizing effects for the classical solutions to the Landau equation in the whole space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:417

Article

Liu, Shuangqian¹  Ma, Xuan² 

[1] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China

[2] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

关键词: Landau equation;    Hypo-elliptic estimate;    Regularizing effect;   

DOI  :  10.1016/j.jmaa.2014.03.006

来源: Elsevier

【 摘 要 】

The Landau equation describes the binary collisional effects (through long range coulombian interaction) in a plasma. In this paper, we prove that the known classical solutions to the Landau equation near Maxwellian in the whole space have a regularizing effect in all (time, space and velocity) variables, that is, become immediately smooth with respect to all variables. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free