Quantitative unique continuation principle for Schrödinger Operators with Singular Potentials

2014/08/08 by Klein, Abel, Tsang, C. S. Sidney · 2 citations
#35B99(Primary) #81Q10(Secondary) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1408.1992

Abstract

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

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• Quantitative unique continuation property for fourth-order Baouendi-Grushin type subelliptic operators with a potential
• A frequency function approach to quantitative unique continuation for elliptic equations

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