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arXiv · 1309.0120

Unique continuation for fractional Schr\"odinger operators in three and higher dimensions

Ihyeok Seo
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Abstract

We prove the unique continuation property for the differential inequality $|(-\Delta)^{\alpha/2}u|\leq|V(x)u|$, where $0<\alpha<n$ and $V\in L_{\textrm{loc}}^{n/\alpha,\infty}(\mathbb{R}^n)$, $n\geq3$.

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Ihyeok Seo. 2013-08-31. Unique continuation for fractional Schr\"odinger operators in three and higher dimensions. https://arxiv.org/abs/1309.0120

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