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arXiv · 1408.1992

Quantitative unique continuation principle for Schr\"odinger Operators with Singular Potentials

Abel Klein·C. S. Sidney Tsang
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Abstract

We prove a quantitative unique continuation principle for Schr\"odinger operators $H=-\Delta+V$ on $\mathrm{L}^2(\Omega)$, where $\Omega$ is an open subset of $\mathbb{R}^d$ and $V$ is a singular potential: $V \in \mathrm{L}^\infty(\Omega) + \mathrm{L}^p(\Omega)$. As an application, we derive a unique continuation principle for spectral projections of Schr\"odinger operators with singular potentials.

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Abel Klein, C. S. Sidney Tsang. 2014-08-08. Quantitative unique continuation principle for Schr\"odinger Operators with Singular Potentials. https://arxiv.org/abs/1408.1992

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