Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/21943
Title: | Weyl Type Bound on Positive Interior Transmission Eigenvalues |
Author: | Lakshtanov, Evgeny Vainberg, Boris |
Keywords: | Counting function Interior transmission eigenvalues Weyl formula |
Issue Date: | Apr-2014 |
Publisher: | Taylor & Francis |
Abstract: | This paper contains a lower bound of the Weyl type on the counting function of the positive eigenvalues of the interior transmission eigenvalue problem which justifies the existence of an infinite set of positive interior transmission eigenvalues. We consider the classical transmission problem as well as the case where the inhomogeneous medium contains an obstacle. One of the essential components of the proof is an estimate for the D-t-N operator for the Helmholtz equation for positive λ that replaces the standard parameter-elliptic estimate valid outside of the positive semi-axis. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/21943 |
DOI: | 10.1080/03605302.2014.881853 |
ISSN: | 0036-1410 |
Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
1307.4503.pdf | 199.48 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.