Wegner estimate for random divergence-type operators monotone in the randomness
arXiv:2011.00941 · doi:10.1007/s11040-021-09396-0
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.
12 pages, 1 figure