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.

引用

页码：945 / 956

页数：12

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