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SOLUTION OF LAPLACE'S EQUATION IN A SINGULAR DOMAIN USING MELLIN TRANSFORM
Journal article   Open access  Peer reviewed

SOLUTION OF LAPLACE'S EQUATION IN A SINGULAR DOMAIN USING MELLIN TRANSFORM

Sami H. Altoum, Ahmed Hussein Msmali and Mahjoub A. Elamin
JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, Vol.28(2), pp.107-121
27/07/2022
DOI: https://doi.org/10.22342/jims.28.2.1052.107-121

Abstract

Mathematics Physical Sciences Science & Technology
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 trasform represent an important key to study the H-s regularity in corner domains.
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https://doi.org/10.22342/jims.28.2.1052.107-121View
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