线性中等软位势朗道方程的Gelfand-Shilov光滑效应  

Gelfand-Shilov smoothing effect for linear landau equation with moderately soft potential

作　　者：易焕龙 李浩光 YI Huanlong;LI Haoguang(College of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China)

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2023年第3期420-424,共5页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：湖北省自然科学基金资助项目(2022CFB444)。

摘　　要：为探讨线性中等软位势朗道方程的柯西问题解的光滑效应,使用莱布尼茨公式、交换算子、归纳法等数学方法证明了中等软位势下线性朗道方程柯西问题的解具有Gelfand-Shilov光滑性效应,这说明了其柯西问题的解以及解的傅里叶变换都是Gevery光滑的.In order to discuss the smoothing effect of the Cauchy problem solution of the linear Landau equation with moderately soft potential,mathematical methods such as Leibniz formula,communicate operator and induction is used to prove that the solution of the Cauchy problem of the linear Landau equation with moderately soft potential has Gelfand-Shilov smoothing effect,which shows that the solution of its Cauchy problem and its Fourier transform are both Gevery smooth.

关 键 词：中等软位势 线性朗道方程 Gelfand-Shilov光滑效应 

分 类 号：O175.25[理学—数学]