Initial length scale estimate for waveguides with some random singular potentials
Spectral Theory
2015-07-09 v1 Mathematical Physics
Analysis of PDEs
math.MP
Probability
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
Cite
@article{arxiv.1507.02235,
title = {Initial length scale estimate for waveguides with some random singular potentials},
author = {D. I. Borisov and R. Kh. Karimov and T. F. Sharapov},
journal= {arXiv preprint arXiv:1507.02235},
year = {2015}
}