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Harmonic functions on metric graphs under the anti-Kirchhoff law
dc.contributor.author | Von Below, Joachim |
dc.contributor.author | Lubary Martínez, José Antonio |
dc.date.accessioned | 2020-02-18T15:59:54Z |
dc.date.available | 2020-02-18T15:59:54Z |
dc.date.issued | 2019-03-01 |
dc.identifier.citation | Von Below, J.; Lubary, J. Harmonic functions on metric graphs under the anti-Kirchhoff law. "Results in mathematics", 1 Març 2019, vol. 74, núm. 36, p. 1-28. |
dc.identifier.issn | 1422-6383 |
dc.identifier.uri | http://hdl.handle.net/2117/177996 |
dc.description.abstract | When does an infinite metric graph allow nonconstant bounded harmonic functions under the anti-Kirchhoff transition law? We give a complete answer to this question in the cases where Liouville’s theorem holds, for trees, for graphs with finitely many essential ramification nodes and for generalized lattices. It turns out that the occurrence of nonconstant bounded harmonic functions under the anti-Kirchhoff law differs strongly from the one under the classical continuity condition combined with the Kirchhoff incident flow law. |
dc.format.extent | 28 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.other | Harmonic functions |
dc.subject.other | Liouville’s theorem |
dc.subject.other | Infinite graphs |
dc.subject.other | Metric graphs |
dc.subject.other | Quantum graphs |
dc.subject.other | Anti-Kirchhoff law |
dc.subject.other | Generalized lattices |
dc.title | Harmonic functions on metric graphs under the anti-Kirchhoff law |
dc.type | Article |
dc.contributor.group | Universitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions |
dc.identifier.doi | 10.1007/s00025-019-0966-2 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::35 Partial differential equations |
dc.subject.ams | Classificació AMS::05 Combinatorics |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00025-019-0966-2 |
dc.rights.access | Open Access |
local.identifier.drac | 23941321 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/MINECO//MTM2014-52402-C3-1-P/ES/ECUACIONES EN DERIVADAS PARCIALES: PROBLEMAS DE REACCION-DIFUSION, INTEGRO-DIFERENCIALES Y GEOMETRICOS/ |
dc.relation.projectid | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-84214-C2-1-P/ES/ECUACIONES EN DERIVADAS PARCIALES: PROBLEMAS DE REACCION-DIFUSION, INTEGRO-DIFERENCIALES Y GEOMETRICOS/ |
local.citation.author | Von Below, J.; Lubary, J. |
local.citation.publicationName | Results in mathematics |
local.citation.volume | 74 |
local.citation.number | 36 |
local.citation.startingPage | 1 |
local.citation.endingPage | 28 |
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