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Journal articles
A limiting absorption principle for scattering problems with unbounded obstacles
Abstract : A generalized mode matching method that applies to a wide class of scattering problems is developed in the time harmonic two-dimensional Helmholtz case. This method leads by variational means to an integro-differential formulation whose unknown is the trace of the field on an unbounded one-dimensional interface. The well-posedness is proved after a careful study of the rather original functional framework. Owing to a fundamental density result--based upon some properties of a singular integral operator similar to the Hilbert transform--the limiting absorption principle related to this original formulation is established. Finally, two other situations are emphasized. Copyright © 2001 John Wiley & Sons, Ltd.
https://hal-ensta-paris.archives-ouvertes.fr//hal-01008796
Contributor : Aurélien Arnoux <>
Submitted on : Tuesday, June 17, 2014 - 11:52:21 AM
Last modification on : Friday, January 22, 2021 - 11:54:03 AM
Contributor : Aurélien Arnoux <>
Submitted on : Tuesday, June 17, 2014 - 11:52:21 AM
Last modification on : Friday, January 22, 2021 - 11:54:03 AM
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