Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness

@article{Dicke2020WegnerEF,
  title={Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness},
  author={Alexander Dicke},
  journal={Mathematical Physics, Analysis and Geometry},
  year={2020},
  volume={24}
}
  • Alexander Dicke
  • Published 2 November 2020
  • Mathematics, Computer Science
  • Mathematical Physics, Analysis and Geometry
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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