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On the unique solvability of a class of modified boundary integral equations

Published online by Cambridge University Press:  20 January 2009

R. E. Kleinman  and
G. F. Roach
R. E. Kleinman
Affiliation:
University of Delaware
G. F. Roach
Affiliation:
University of Strathclyde
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In a recent paper the authors considered the transmission problem for the Helmholtz equation by using a reformulation of the problem in terms of a pair of coupled boundary integral equations with modified Green's functions as kernels. In this note we settle the question of the unique solvability of these modified boundary integral equations.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 27 , Issue 3 , October 1984 , pp. 303 - 311
Copyright
Copyright © Edinburgh Mathematical Society 1984

References

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