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arXiv · 2106.06120

Landis-type conjecture for the half-Laplacian

Pu-Zhao Kow·Jenn-Nan Wang
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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.

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Pu-Zhao Kow, Jenn-Nan Wang. 2021-06-11. Landis-type conjecture for the half-Laplacian. https://doi.org/10.1090/proc/16093

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