带有外势朗道算子的全局性亚椭圆估计

摘要

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.%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.