PARTIAL SCHAUDER ESTIMATES FOR A SUB-ELLIPTIC EQUATION  

作　　者：魏娜 蒋永生 吴永洪 

机构地区：[1]School of Statistic and Mathematics,Zhongnan University of Economics and Law [2]Department of Mathematics and Statistics,Curtin University of Technology

出　　处：《Acta Mathematica Scientia》2016年第3期945-956,共12页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(11201486,11326153);supported by"the Fundamental Research Funds for the Central Universities(31541411213)"

摘　　要：In this paper, we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem, the Taylor formula and a priori estimates for the derivatives of the Newton potential.In this paper, we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem, the Taylor formula and a priori estimates for the derivatives of the Newton potential.

关 键 词：partial Schauder estimates Kohn Laplace equation Heisenberg group 

分 类 号：O175.25[理学—数学] O241.82[理学—基础数学]