数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (3): 945-956.doi: 10.1016/S0252-9602(16)30051-0

• 论文 • 上一篇    下一篇

PARTIAL SCHAUDER ESTIMATES FOR A SUB-ELLIPTIC EQUATION

魏娜1, 蒋永生1,2, 吴永洪1,2   

  1. 1. School of Statistic and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China;
    2. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia
  • 收稿日期:2015-04-28 修回日期:2015-09-29 出版日期:2016-06-25 发布日期:2016-06-25
  • 通讯作者: Yongsheng JIANG,E-mail:jiangys@znufe.edu.cn E-mail:jiangys@znufe.edu.cn
  • 作者简介:Na WEI,E-mail:weina@znufe.edu.cn;Yonghong WU,E-mail:Y.Wu@curtin.edu.au
  • 基金资助:

    This work was supported by the NSFC (11201486, 11326153). The first author was supported by "the Fundamental Research Funds for the Central Universities (31541411213)".

PARTIAL SCHAUDER ESTIMATES FOR A SUB-ELLIPTIC EQUATION

Na WEI1, Yongsheng JIANG1,2, Yonghong WU1,2   

  1. 1. School of Statistic and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China;
    2. Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia
  • Received:2015-04-28 Revised:2015-09-29 Online:2016-06-25 Published:2016-06-25
  • Contact: Yongsheng JIANG,E-mail:jiangys@znufe.edu.cn E-mail:jiangys@znufe.edu.cn
  • Supported by:

    This work was supported by the NSFC (11201486, 11326153). The first author was 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.

关键词: partial Schauder estimates, Kohn Laplace equation, Heisenberg group

Abstract:

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.

Key words: partial Schauder estimates, Kohn Laplace equation, Heisenberg group

中图分类号: 

  • 35R05