Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials
arXiv:2011.01801 · doi:10.1016/j.jde.2023.05.046
Abstract
Recent (scale-free) quantitative unique continuation estimates for spectral subspaces of Schrödinger operators are extended to allow singular potentials such as certain -functions. The proof is based on accordingly adapted Carleman estimates. Applications include Wegner and initial length scale estimates for random Schrödinger operators and control theory for the controlled heat equation with singular heat generation term.
arXiv comment18 pages; updated references, some typos fixed, minor editorial changes
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