椭圆方程在Orlicz类中的正则估计

数学季刊 ›› 2012, Vol. 27 ›› Issue (1): 29-35.

椭圆方程在Orlicz类中的正则估计

School of Sciences, Zhejiang University of Science Technology

收稿日期:2009-08-11 出版日期:2012-03-30 发布日期:2023-04-04
作者简介:TAO Xiang-xing(1966-), male, native of Hangzhou, Zhejiang, a professor of Zhejiang University of Science and Technology, Ph.D., engages in PDE; FANG Yi(1985-), male, native of Hefei, Anhui, a Ph.D. of Zhejiang University of Science and Technology, engages in PDE.
基金资助:
Supported by the NNSF of China(10771110,11171306)； Supported by the New Century 151 Talent Project of Zhejiang Province

The Regularity Estimates for the Elliptic Equations in Orlicz Classes

School of Sciences, Zhejiang University of Science Technology

Received:2009-08-11 Online:2012-03-30 Published:2023-04-04
About author:TAO Xiang-xing(1966-), male, native of Hangzhou, Zhejiang, a professor of Zhejiang University of Science and Technology, Ph.D., engages in PDE; FANG Yi(1985-), male, native of Hefei, Anhui, a Ph.D. of Zhejiang University of Science and Technology, engages in PDE.
Supported by:
Supported by the NNSF of China(10771110,11171306)； Supported by the New Century 151 Talent Project of Zhejiang Province

摘要/Abstract

摘要： The purpose of this paper is to give the element proof of the regularity estimates in Orlicz classes for the second order derivatives of the solutions to the general second order elliptic equations. The global regularities in Orlicz for the second order derivatives of the solutions of the Dirichlet problems are also given.

关键词: regularity estimates, Orlicz spaces, condition

Abstract: The purpose of this paper is to give the element proof of the regularity estimates in Orlicz classes for the second order derivatives of the solutions to the general second order elliptic equations. The global regularities in Orlicz for the second order derivatives of the solutions of the Dirichlet problems are also given.

Key words: regularity estimates, Orlicz spaces, condition

中图分类号:

O175.25

陶祥兴, 方益. 椭圆方程在Orlicz类中的正则估计[J]. 数学季刊, 2012, 27(1): 29-35.

TAO Xiang-xing, FANG Yi. The Regularity Estimates for the Elliptic Equations in Orlicz Classes[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(1): 29-35.

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