Landis-type conjecture for the half-Laplacian
| dc.contributor.author | Kow, Pu-Zhao | |
| dc.contributor.author | Wang, Jenn-Nan | |
| dc.date.accessioned | 2023-05-11T08:57:07Z | |
| dc.date.available | 2023-05-11T08:57:07Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | Kow, P.-Z., & Wang, J.-N. (2023). Landis-type conjecture for the half-Laplacian. <i>Proceedings of the American Mathematical Society</i>, <i>151</i>(7), 2951-2962. <a href="https://doi.org/10.1090/proc/16093" target="_blank">https://doi.org/10.1090/proc/16093</a> | |
| dc.identifier.other | CONVID_183069917 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/86915 | |
| dc.description.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. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | American Mathematical Society (AMS) | |
| dc.relation.ispartofseries | Proceedings of the American Mathematical Society | |
| dc.rights | In Copyright | |
| dc.subject.other | unique continuation property | |
| dc.subject.other | Landis conjecture, half-Laplacian, Caarelli- Silvestre extension, Liouville-type theorem | |
| dc.title | Landis-type conjecture for the half-Laplacian | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202305112994 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 2951-2962 | |
| dc.relation.issn | 0002-9939 | |
| dc.relation.numberinseries | 7 | |
| dc.relation.volume | 151 | |
| dc.type.version | acceptedVersion | |
| dc.rights.copyright | © 2023 American Mathematical Society | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.grantnumber | 312121 | |
| dc.relation.grantnumber | 770924 | |
| dc.relation.grantnumber | 770924 | |
| dc.relation.projectid | info:eu-repo/grantAgreement/EC/H2020/770924/EU//IPTheoryUnified | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
| dc.relation.doi | 10.1090/proc/16093 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | European Commission | en |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Euroopan komissio | fi |
| jyx.fundingprogram | Centre of Excellence, AoF | en |
| jyx.fundingprogram | ERC Consolidator Grant | en |
| jyx.fundingprogram | Huippuyksikkörahoitus, SA | fi |
| jyx.fundingprogram | ERC Consolidator Grant | fi |
| jyx.fundinginformation | 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. | |
| dc.type.okm | A1 |
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