Landis-type conjecture for the half-Laplacian
Kow, P.-Z., & Wang, J.-N. (2023). Landis-type conjecture for the half-Laplacian. Proceedings of the American Mathematical Society, 151(7), 2951-2962. https://doi.org/10.1090/proc/16093
Julkaistu sarjassa
Proceedings of the American Mathematical SocietyPäivämäärä
2023Tekijänoikeudet
© 2023 American Mathematical Society
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.
Julkaisija
American Mathematical Society (AMS)ISSN Hae Julkaisufoorumista
0002-9939Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/183069917
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Suomen Akatemia; Euroopan komissioRahoitusohjelmat(t)
Huippuyksikkörahoitus, SA
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Lisätietoja rahoituksesta
The first author was partially supported by the Academy of Finland (Centre of Excellence in Inverse Modelling and Imaging, 312121) and by the European Research Council under Horizon 2020 (ERC CoG 770924). The second author was partially supported by MOST 108-2115-M-002-002-MY3 and MOST 109-2115-M-002-001-MY3.Lisenssi
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