ELLIPTIC EQUATIONS IN DIVERGENCE FORM WITH DISCONTINUOUS COEFFICIENTS IN DOMAINS WITH CORNERS

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摘要 We study equations in divergence form with piecewise Cαcoefficients.The domains contain corners and the discontinuity surfaces are attached to the edges of the corners.We obtain piecewise C^(1,α) estimates across the discontinuity surfaces and provide an example to illustrate the issue regarding the regularity at the corners.

作者 Jun CHEN Xuemei DENG 陈俊;邓雪梅(Three Gorges Mathematical Research Center,China Three Gorges University,Yichang,443002,China)

机构地区 Three Gorges Mathematical Research Center

出处《Acta Mathematica Scientia》 SCIE CSCD 2024年第5期1903-1915,共13页 数学物理学报（B辑英文版）

基金 supported by National Natural Science Foundation of China(12061080,12161087 and 12261093) the Science and Technology Project of the Education Department of Jiangxi Province(GJJ211601) supported by National Natural Science Foundation of China(11871305).

关键词 elliptic equations divergence form discontinuous coefficients corner regularity

分类号 O17 [理学—基础数学]

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2024年第5期

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ELLIPTIC EQUATIONS IN DIVERGENCE FORM WITH DISCONTINUOUS COEFFICIENTS IN DOMAINS WITH CORNERS

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