TRANSMISSION EIGENVALUES FOR MULTIPOINT SCATTERERS
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Published:2021-12
Issue:4
Volume:9
Page:17-25
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ISSN:2306-6172
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Container-title:Eurasian Journal of Mathematical and Computer Applications
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language:
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Short-container-title:EJMCA
Author:
Grinevich Petr, ,Novikov Roman,
Abstract
We study the transmission eigenvalues for the multipoint scatterers of the Bethe- Peierls-Fermi-Zeldovich-Beresin-Faddeev type in dimensions d = 2 and d = 3. We show that for these scatterers: 1) each positive energy E is a transmission eigenvalue (in the strong sense) of infinite multiplicity; 2) each complex E is an interior transmission eigenvalue of infinite multiplicity. The case of dimension d = 1 is also discussed.
Publisher
L. N. Gumilyov Eurasian National University
Subject
Applied Mathematics,Computational Mathematics,Computer Science Applications,Mathematical Physics,Modelling and Simulation,Information Systems
Cited by
2 articles.
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