摘要
本文主要研究了具有外势的朗道型算子的亚椭圆性.利用傅里叶变换和象征类计算,在基于一些假设的前提下得到了朗道算子的全局性亚椭圆估计.
In this paper, we study the hypoellipticity of Landau-type operator with external force. By using Fourier transform and symbolic class calculation, we get the global hypoelliptic estimate under suitable assumptions on the external potential.
作者
刘吕桥
LIU Lv-qiao(School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Chin)
出处
《数学杂志》
2018年第3期427-452,共26页
Journal of Mathematics
关键词
全局亚椭圆性
朗道方程
外势
Wick量子化
global hypoellipticity
Landau equation
external potential
Wick quantization
