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.

中文翻译：

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随机发散型算子单调的 Wegner 估计

在本说明中，证明了对随机性单调的随机发散型算子的 Wegner 估计。该证明基于最近显示的梯度和随后的特征值提升的唯一连续估计。这里研究的随机模型包含相当普遍的随机扰动，其中一些对随机参数具有非线性依赖性。