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Article overview
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Location of the interior transmission eigenvalues for a ball | Vesselin Petkov
; Georgi Vodev
; | Date: |
15 Mar 2016 | Abstract: | We study the localization of the interior transmission eigenvalues (ITEs) in
the case when the domain is the unit ball ${x in {mathbb R}^d:: |x| leq
1}, : dgeq 2,$ and the coefficients $c_j(x), : j =1,2,$ and the indices of
refraction $n_j(x), : j =1,2,$ are constants near the boundary $|x| = 1$. We
prove that in this case the eigenvalue-free region obtained in [16] for
strictly concave domains can be significantly improved. In particular, if
$c_j(x), n_j(x), j = 1,2$ are constants for $|x| leq 1$, we show that all
(ITEs) lie in a strip ${ lambda in {mathbb C}::|{
m Im}: lambda| leq
C}$. | Source: | arXiv, 1603.4604 | Services: | Forum | Review | PDF | Favorites |
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