Wegner estimate for random divergence-type operators monotone in the randomness
Mathematical Physics
2021-06-22 v1 Analysis of PDEs
math.MP
Probability
Spectral Theory
Abstract
In this note, a Wegner estimate for random divergence-type operators that are monotone in the randomness is proven. The proof is based on a recently shown unique continuation estimate for the gradient and the ensuing eigenvalue liftings. The random model which is studied here contains quite general random perturbations, among others, some that have a non-linear dependence on the random parameters.
Cite
@article{arxiv.2011.00941,
title = {Wegner estimate for random divergence-type operators monotone in the randomness},
author = {Alexander Dicke},
journal= {arXiv preprint arXiv:2011.00941},
year = {2021}
}
Comments
12 pages, 1 figure