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A simple method of calculating eigenvalues and resonances in domains with infinite regular ends

Published online by Cambridge University Press:  08 October 2008

Michael Levitin  and
Marco Marletta
Michael Levitin
Affiliation:
School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, UK ([email protected])
Marco Marletta
Affiliation:
School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, UK ([email protected])
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Extract

A new approach is presented for the solution of spectral problems on infinite domains with regular ends, which avoids the need to solve boundary-value problems for many trial values of the spectral parameter. We present numerical results both for eigenvalues and for resonances, comparing with results reported by Aslanyan, Parnovski and Vassiliev.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 5 , October 2008 , pp. 1043 - 1065
Copyright
Copyright © Royal Society of Edinburgh 2008

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