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This article is cited in 6 scientific papers (total in 6 papers)
Initial length scale estimate for waveguides with some random singular potentials
D.I. Borisovabc, R. Kh. Karimovb, T. F. Sharapovb a University of Hradec Králové, Rokitanskeho, 62,
50003, Hradec Králové, Czech Republic
b Bashkir State Pedagogical University named after M. Akhmulla, October rev. st., 3a, 450000, Ufa, Russia
c Institute of Mathematics CC USC RAS, Chernyshevskii str., 112, 450008, Ufa, Russia
Abstract:
In this work we consider three examples of random singular perturbations in multi-dimensional models of waveguides. These perturbations are described by a large potential supported on a set of a small measure, by a compactly supported fast oscillating potential, and by a delta-potential. In all cases we prove initial length scale estimate.
Keywords:
random operator, initial length scale estimate, perturbation, small parameter, spectral localization.
Received: 19.02.2015
Citation:
D.I. Borisov, R. Kh. Karimov, T. F. Sharapov, “Initial length scale estimate for waveguides with some random singular potentials”, Ufimsk. Mat. Zh., 7:2 (2015), 35–56; Ufa Math. J., 7:2 (2015), 33–54
Linking options:
https://www.mathnet.ru/eng/ufa277https://doi.org/10.13108/2015-7-2-33 https://www.mathnet.ru/eng/ufa/v7/i2/p35
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Abstract page: | 512 | Russian version PDF: | 168 | English version PDF: | 12 | References: | 48 |
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