Initial length scale estimate for waveguides with some random singular potentials

D.I. Borisov   ; R. Kh. Karimov   ; T. F. Sharapov

Ufa mathematical journal, Tome 7 (2015) no. 2, pp. 33-54

Résumé

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.

Détail

Keywords: random operator, initial length scale estimate, small parameter, spectral localization.
Mots-clés : perturbation

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