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- W3105575975 abstract "We prove a scale-free, quantitative unique continuation principle for functions in the range of the spectral projector $chi_{(-infty,E]}(H_L)$ of a Schrodinger operator $H_L$ on a cube of side $Lin mathbb{N}$, with bounded potential. Such estimates are also called, depending on the context, uncertainty principles, observability estimates, or spectral inequalities. We apply it to (i) prove a Wegner estimate for random Schrodinger operators with non-linear parameter-dependence and to (ii) exhibit the dependence of the control cost on geometric model parameters for the heat equation in a multi-scale domain." @default.
- W3105575975 created "2020-11-23" @default.
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- W3105575975 date "2018-01-12" @default.
- W3105575975 modified "2023-09-27" @default.
- W3105575975 title "Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators" @default.
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- W3105575975 doi "https://doi.org/10.2140/apde.2018.11.1049" @default.
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