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Landis-type conjecture for the half-Laplacian.
- Source :
-
Proceedings of the American Mathematical Society . Jul2023, Vol. 151 Issue 7, p2951-2962. 12p. - Publication Year :
- 2023
-
Abstract
- In this paper, we study the Landis-type conjecture, i.e., unique continuation property from infinity, of the fractional Schrödinger 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LOGICAL prediction
*SCHRODINGER equation
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 163280299
- Full Text :
- https://doi.org/10.1090/proc/16093