dc.contributor.author Cassano, B. dc.date.accessioned 2018-06-15T11:11:27Z dc.date.available 2018-06-15T11:11:27Z dc.date.issued 2018 dc.identifier.uri http://hdl.handle.net/20.500.11824/813 dc.description.abstract We determine the fastest possible rate of exponential decay at en_US infinity for eigenfunctions of the Dirac operator $\mathcal D_n + \mathbb V$, being $\mathcal D_n$ the massless Dirac operator in dimensions $n=2,3$ and $\mathbb V$ a matrix-valued perturbation such that $|\mathbb V(x)| \sim |x|^{-\epsilon}$ at infinity, for $\epsilon < 1$. Moreover, we provide explicit examples of solutions that have the prescripted decay, in presence of a potential with the related behaviour at infinity, proving that our results are sharp. This work is a result of unique continuation from infinity. dc.description.sponsorship INDAM - Istituto Italiano di Alta Matematica en_US dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject Dirac operator, unique continuation, complex potentials, localization of eigenfunctions en_US dc.title Sharp exponential localization for eigenfunctions of the Dirac Operator en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.arxiv arXiv:1803.00603 dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/669689 en_US dc.relation.projectID ES/1PE/SEV-2013-0323 en_US dc.relation.projectID ES/1PE/MTM2014-53145-P en_US dc.relation.projectID EUS/BERC/BERC.2014-2017 en_US dc.rights.accessRights info:eu-repo/semantics/openAccess en_US dc.type.hasVersion info:eu-repo/semantics/submittedVersion en_US
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