Gelfand-Shilov Smoothing Effect for the Radially Symmetric SpatiallyHomogeneous Landau Equation under the Hard Potentialγ=2  

作　　者：LI Haoguang WANG Hengyue 

机构地区：[1]School of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China

出　　处：《Journal of Partial Differential Equations》2022年第1期11-30,共20页偏微分方程（英文版）

基　　金：the Fundamental Research Funds for the Central Universities of China,South-Central University for Nationalities(No.CZT20007);the Natural Science Foundation of China(No.11701578).

摘　　要：Based on the spectral decomposition for the linear and nonlinear radially symmetric homogeneous non-cutoff Landau operators under the hard potentialγ=2 in perturbation framework,we prove the existence and Gelfand-Shilov smoothing effect for solution to the Cauchy problem of the symmetric homogenous Landau equation with small initial datum.

关 键 词：Gelfand-Shilov smoothing effect spectral decomposition Landau equation hard potentialγ=2 

分 类 号：O1[理学—数学]