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On the limiting absorption and amplitude principles for transmission problems with unbounded interfaces

Published online by Cambridge University Press:  01 September 1997

BO ZHANG
BO ZHANG
Affiliation:
Department of Mathematics and Statistics, Brunel University, Uxbridge UB8 3PH, UK
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Abstract

We consider the transmission problem for second-order differential equations with unbounded interfaces. The spaces B and B* are used to prove the limiting absorption principle for the steady-state problem and to establish the resolvent estimate at low frequencies for the steady-state operator. These are then applied in showing the validity of the limiting amplitude principle for such an operator.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 2 , September 1997 , pp. 343 - 356
Copyright
Cambridge Philosophical Society 1997

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