A Remark about Time-Analyticity of the Linear Landau Equation with Soft Potential  

作　　者：Chaojiang Xu Yan Xu 

机构地区：[1]School of Mathematics and Key Laboratory of Mathematical MIIT,Nanjing University of Aeronautics and Astronautics,Nanjing,Jiangsu 210016,China

出　　处：《Analysis in Theory and Applications》2024年第1期22-37,共16页分析理论与应用（英文刊）

基　　金：supported by the NSFC(No.12031006);the Fundamental Research Funds for the Central Universities of China.

摘　　要：In this note,we study the Cauchy problem of the linear spatially homogeneous Landau equation with soft potentials.We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time variable with an L2 initial datum for positive time.So that the smoothing effect of Cauchy problem for the linear spatially homogeneous Landau equation with soft potentials is similar to the heat equation.

关 键 词：Spatially homogeneous Landau equation analytic smoothing effect soft potentials 

分 类 号：O17[理学—数学]