Landis-type conjecture for the half-Laplacian
نویسندگان
چکیده
In this paper, we study the Landis-type conjecture, i.e., unique continuation property from infinity, of fractional Schr\"{o}dinger equation with drift and potential terms. We show that if any solution decays at a certain exponential rate, then it must be trivial. The main ingredients our proof are Caffarelli-Silvestre extension Armitage's Liouville-type theorem.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2023
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/16093