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The double layer potential method for a boundary transmission problem for the Laplace operator in an infinite wedge

✍ Scribed by Dirk Mirschinka

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
549 KB
Volume
18
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper is concerned with the solution of a boundary transmission problem in an infinite wedge. We treat this problem by a boundary integral method using Green's contact function for two half‐spaces. The integral operators are studied via a harmonic analysis approach which goes back to a paper of Fabes et al. We improve their results studying the Fourier symbol of the associated integral operators on the half‐plane. This leads to invertibility criteria for the boundary integral operators.

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