| 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. |
| 关键词: 全局亚椭圆性 朗道方程 外势 Wick量子化 |
| DOI： |
| 分类号:O175.3 |
| 基金项目: |
|
| GLOBAL HYPOELLIPTIC ESTIMATE FOR LANDAU OPERATOR WITH EXTERNAL POTENTIAL |
|
LIU Lv-qiao
|
|
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| Abstract: |
| 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. |
| Key words: global hypoellipticity Landau equation external potential Wick quantization |
