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-  2018 

带有外势朗道算子的全局性亚椭圆估计
GLOBAL HYPOELLIPTIC ESTIMATE FOR LANDAU OPERATOR WITH EXTERNAL POTENTIAL

Keywords: 全局亚椭圆性 朗道方程 外势 Wick量子化
global hypoellipticity Landau equation external potential Wick quantization

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Abstract:

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

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