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J. Korean Math. Soc. 2005; 42(6): 1311-1322

Printed November 1, 2005

Copyright © The Korean Mathematical Society.

Corner singularity at the multiple junction of the electric transmission

Hi Jun Choe, Kyong Yop Park, and Ayoung Sohn

Yonsei University, Korea Electrotechnology Research Institute, Yonsei University

Abstract

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We consider the several plane sector domains which are bonded together along common edges with vertex at the origin. Such domains appear in electric conducting problem with multi-layered heterogeneous media. Our aim is to give a structure theorem of the singularities of the electric field at the corner. Also, we provide a regularity theorem for the electric field.

Keywords: corner singularity, multi-layered domain, electric transmission, Poisson equation

MSC numbers: 35J05

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