https://scholars.lib.ntu.edu.tw/handle/123456789/638950
Title: | Landis-type conjecture for the half-Laplacian | Authors: | Pu-Zhao Kow JENN-NAN WANG |
Keywords: | 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, 35J15 | Issue Date: | 11-Jun-2021 | Journal Volume: | 151 | Journal Issue: | 7 | Source: | Proceedings of the American Mathematical Society | Abstract: | In 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. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/638950 | ISSN: | 00029939 | DOI: | 10.1090/proc/16093 |
Appears in Collections: | 應用數學科學研究所 |
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