Pu-Zhao KowJENN-NAN WANG2024-01-262024-01-262021-06-1100029939https://scholars.lib.ntu.edu.tw/handle/123456789/638950In this paper, we study the Landis-type conjecture, i.e., unique continuation property from infinity, of the fractional Schr\"{o}dinger equation with drift and potential terms. We show that if any solution of the equation decays at a certain exponential rate, then it must be trivial. The main ingredients of our proof are the Caffarelli-Silvestre extension and Armitage's Liouville-type theorem.Caarelli- Silvestre extension | half-Laplacian | Landis conjecture | Liouville-type theorem | Unique continuation property; Mathematics - Analysis of PDEs; Mathematics - Analysis of PDEs; Primary: 35A02, 35B40, 35R11. Secondary: 35J05, 35J15journal article10.1090/proc/160932-s2.0-85174905164http://arxiv.org/abs/2106.06120v2