PARTIAL SCHAUDER ESTIMATES FOR A SUB-ELLIPTIC EQUATION

被引：0
|
作者：
Wei, Na [1 ]
Jiang, Yongsheng [1 ,2 ]
Wu, Yonghong [1 ,2 ]
机构：
[1] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China
[2] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
来源：
ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 03期
关键词：
partial Schauder estimates; Kohn Laplace equation; Heisenberg group; HEISENBERG-GROUP; LINEAR EQUATIONS; INTERIOR; REGULARITY; PRINCIPLE;
D O I：
10.1016/S0252-9602(16)30051-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：945 / 956
页数：12
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