熵解的一个正则性结果

doi:10.3969/j.issn.1000-1565.2019.02.001

河北大学学报(自然科学版) ›› 2019, Vol. 39 ›› Issue (2): 113-117.DOI: 10.3969/j.issn.1000-1565.2019.02.001

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熵解的一个正则性结果

张琪¹,王莲虹²,高红亚²

收稿日期:2018-07-21 出版日期:2019-03-25 发布日期:2019-03-25
作者简介:张琪(1983—),男,河北承德人,承德医学院实验师,主要从事偏微分方程研究. E-mail:54427530@qq.com
基金资助:
河北省自然科学基金资助项目(A2015201149)

A regularity result of entropy solutions

ZHANG Qi¹, WANG Lianhong², GAO Hongya²

1.Computer Center of Experiment, Chengde Medical College, Chengde 067000, China; 2.College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Received:2018-07-21 Online:2019-03-25 Published:2019-03-25

摘要/Abstract

摘要： 非齐次散度型椭圆方程的带有非齐次边界条件的边界值问题, 在控制增长条件、强制性条件以及非齐次项的适当的可积性假设条件下,利用Stampacchia引理和Sobolev空间的分析方法,得到了熵解的正则性结果,推广了已知的结果.

关键词: 正则性, 熵解, 各项异性椭圆方程, 边界值问题

Abstract: This paper deals with nonhomogeneous boundary value problem for nonhomogeneous divergence type elliptic equation. A regularity result is derived for entropy solutions under some controllable and coercivity conditions, and some proper integrable assumptions on the nonlinear term,by using the classical Stampacchia Lemma and the methods in Sobolev spaces. The result obtained in this paper can be regarded as a generalization of the classical results.

Key words: regularity, entropy solution, anisotropic elliptic equation, boundary value problem.

中图分类号:

O175.23

张琪,王莲虹,高红亚. 熵解的一个正则性结果[J]. 河北大学学报(自然科学版), 2019, 39(2): 113-117.

ZHANG Qi, WANG Lianhong, GAO Hongya. A regularity result of entropy solutions[J]. Journal of Hebei University (Natural Science Edition), 2019, 39(2): 113-117.

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熵解的一个正则性结果

A regularity result of entropy solutions

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