带角域中具有不连续系数的发散形式椭圆方程

IF 1.2 4区 数学 Q1 MATHEMATICS Acta Mathematica Scientia Pub Date : 2024-08-27 DOI:10.1007/s10473-024-0515-2
Jun Chen, Xuemei Deng
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引用次数: 0

摘要

我们研究的是具有片断 Cα 系数的发散形式方程。域包含角,不连续面连接到角的边缘。我们得到了不连续面上的片断 C1,α 估计值,并举例说明了角上的正则性问题。
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Elliptic equations in divergence form with discontinuous coefficients in domains with corners

We study equations in divergence form with piecewise Cα coefficients. The domains contain corners and the discontinuity surfaces are attached to the edges of the corners. We obtain piecewise C1,α estimates across the discontinuity surfaces and provide an example to illustrate the issue regarding the regularity at the corners.

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来源期刊
CiteScore
2.00
自引率
10.00%
发文量
2614
审稿时长
6 months
期刊介绍: Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.
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