奇异域中拉普拉斯方程的Mellin变换解法

IF 0.3 Q4 MATHEMATICS Journal of the Indonesian Mathematical Society Pub Date : 2022-07-27 DOI:10.22342/jims.28.2.1052.107-121

Sami H. Altoum, A. Msmali, M. Elamin

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摘要

本文讨论了V.Kondratiev的理论，该理论允许研究角域中椭圆问题的正则性。在引入Mellin变换和Sobolev空间加权后，我们回忆起与Sobolev空格的联系。Mellin变换是研究角域中H^s正则性的一个重要关键。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solution of Laplace’s Equation in A Singular Domain Using Mellin Transform

This paper deals with the theory of V. Kondratiev which allows to study the regularity of elliptical problems in corner domains. After having introduced the Mellin transform and the Sobolev spaces to weight, we recall the links with Sobolev spaces. The Mellin transform represent an important key to study the H^s regularity in corner domains.

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