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From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorFERNANDEZ-BERTOLIN, Aingeru
hal.structure.identifierUniversität Wien = University of Vienna
dc.contributor.authorGRÖCHENIG, Karlheinz
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJAMING, Philippe
dc.date.accessioned2024-04-04T03:05:32Z
dc.date.available2024-04-04T03:05:32Z
dc.date.issued2019
dc.identifier.issn0022-247X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193255
dc.description.abstractEnThe aim of this paper is to establish uniqueness properties of solutions of the Helmholtz and Laplace equations. In particular, we show that if two solutions of such equations on a domain of R d agree on two intersecting d − 1-dimensional submanifolds in generic position, then they agree everywhere.
dc.language.isoen
dc.publisherElsevier
dc.subject.enHarmonic functions
dc.subject.enNodal set
dc.subject.enHelmholtz–Laplace equation
dc.subject.enUnique continuation
dc.subject.enHeisenberg uniqueness pair
dc.subject.enSchwarz reflection principle
dc.title.enFrom Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jmaa.2018.09.008
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.subject.halMathématiques [math]/Variables complexes [math.CV]
dc.identifier.arxiv1711.05520
bordeaux.journalJournal of Mathematical Analysis and Applications
bordeaux.page202–219
bordeaux.volume469
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01634903
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01634903v1
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