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

dc.contributor.authorFernández Bertolin, Aingeru ORCID
dc.contributor.authorGröchenig, Karlheinz
dc.contributor.authorJaming, Philippe
dc.date.accessioned2022-02-23T15:12:07Z
dc.date.available2022-02-23T15:12:07Z
dc.date.issued2018-09-07
dc.identifier.citationJournal of Mathematical Analysis and Applications 469(1) : 202-219 (2019)es_ES
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/10810/55562
dc.descriptionThis document is the Accepted Manuscript version of a published work that appeared in final form in: Journal of Mathematical Analysis and Applications, Elsevier, 2019, 469 (1), pp.202-219. (Available online 7 September 2018).__ This version is also available in ARXIV (2 May 2019)es_ES
dc.description.abstractThe 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 Rd agree on two intersecting d − 1-dimensional submanifolds in generic position, then they agree everywhere.es_ES
dc.description.sponsorshipA. F. B. kindly acknowledge financial support from the IdEx postdoctoral program via the PDEUC project and from ERCEA Advanced Grant 2014 669689 – HADE./ Ph. J. kindly acknowledges financial support from the French–Tunisian CMCU/Utique project 32701UB Popart. / The three authors kindly acknowledge the support of the Austrian–French Amadeus project 35598VB-ChargeDisq. / This study has been carried out with financial support from the French State, managed by the French National Research Agency (ANR) in the frame of the “Investments for the future” Programme IdEx Bordeaux – CPU (ANR-10-IDEX-03-02).es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relationinfo:eu-repo/grantAgreement/EC/H2020/669689es_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectunique continuationes_ES
dc.subjectHeisenberg uniqueness paires_ES
dc.subjectHelmholtz–Laplace equationes_ES
dc.subjectSchwarz reflection principlees_ES
dc.subjectharmonic functionses_ES
dc.subjectnodal setes_ES
dc.titleFrom Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equationses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.holderAtribución-NoComercial-SinDerivadas 3.0 Españaes_ES
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0022247X18307431es_ES
dc.identifier.doi10.1016/j.jmaa.2018.09.008
dc.contributor.funderEuropean Commission
dc.departamentoesMatemáticases_ES
dc.departamentoeuMatematikaes_ES


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