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.
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The author thanks I. Veselić for suggesting this field of research as well as A. Seelmann and I. Veselić for helpful comments on an earlier version of this manuscript.
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Dicke, A. Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness. Math Phys Anal Geom 24, 22 (2021). https://doi.org/10.1007/s11040-021-09396-0
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DOI: https://doi.org/10.1007/s11040-021-09396-0