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dc.contributor.authorBanica, V.
dc.contributor.authorIgnat, L.I.
dc.date.accessioned2017-02-21T08:18:21Z
dc.date.available2017-02-21T08:18:21Z
dc.date.issued2011-12-31
dc.identifier.issn0022-2488
dc.identifier.urihttp://hdl.handle.net/20.500.11824/594
dc.description.abstractIn this paper, we consider the Schrödinger equation on a network formed by a tree with the last generation of edges formed by infinite strips. We give an explicit description of the solution of the linear Schrödinger equation with constant coefficients. This allows us to prove dispersive estimates, which in turn are useful for solving the nonlinear Schrödinger equation. The proof extends also to the laminar case of positive step-function coefficients having a finite number of discontinuities.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleDispersion for the Schrödinger equation on networks
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1063/1.3629474
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-80052308761&doi=10.1063%2f1.3629474&partnerID=40&md5=cfb1e289f41e19cdc180cff96ee687eb
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleJournal of Mathematical Physicsen_US


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