Journal of the Indonesian Mathematical Society
VOLUME 28 NUMBER 2 (JULY 2022)

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

Sami Altoum (Department of Mathematics, AL-Qunfudhah University College, Umm Al-Qura University, KSA)
Ahmed Hussein Msmali (Mathematics Department, Jazan University)
Mahjoub A. Elamin (Department of Mathematics, University College of Umluj, Tabuk University)

Article Info

Publish Date
27 Jul 2022

Abstract

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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Journal Info
Journal of the Indonesian Mathematical Society
Website

Abbrev

JIMS

Publisher

Indonesian Mathematical Society

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...