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arXiv 2014-08-08 0 views

Quantitative unique continuation principle for Schrödinger Operators with Singular Potentials

Klein, Abel · Tsang, C. S. Sidney

Original · EN

We prove a quantitative unique continuation principle for Schrödinger operators H=-Δ+V on L²(Ω), where Ω is an open subset of Rᵈ and V is a singular potential: V ∈ L∞(Ω) + Lᵖ(Ω). As an application, we derive a unique continuation principle for spectral projections of Schrödinger operators with singular potentials.

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