Unique continuation for fractional Schr\"odinger operators in three and higher dimensions
classification
🧮 math.AP
keywords
alphacontinuationuniquedeltadifferentialdimensionsfractionalgeq3
read the original 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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