Unique continuation for fractional Schrödinger operators in three and higher dimensions
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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 $V\in L_{\textrm {loc}}^{n/\alpha ,\infty }(\mathbb {R}^n)$, $n\geq 3$.References
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Additional Information
- Ihyeok Seo
- Affiliation: Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
- MR Author ID: 927090
- Email: ihseo@skku.edu
- Received by editor(s): September 5, 2013
- Published electronically: December 1, 2014
- Communicated by: Joachim Krieger
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 1661-1664
- MSC (2010): Primary 35B60; Secondary 35J10
- DOI: https://doi.org/10.1090/S0002-9939-2014-12594-9
- MathSciNet review: 3314078