6533b830fe1ef96bd1297bcb

RESEARCH PRODUCT

Landis-type conjecture for the half-Laplacian

Pu-zhao KowJenn-nan Wang

subject

Landis conjecture half-Laplacian Caarelli- Silvestre extension Liouville-type theoremosittaisdifferentiaaliyhtälötMathematics - Analysis of PDEsApplied MathematicsGeneral Mathematicsunique continuation propertyPrimary: 35A02 35B40 35R11. Secondary: 35J05 35J15FOS: MathematicsAnalysis of PDEs (math.AP)

description

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. peerReviewed

yearjournalcountryeditionlanguage
2023-04-13
https://dx.doi.org/10.48550/arxiv.2106.06120