Show simple item record

dc.contributor.authorBorrelli, William
dc.contributor.authorCarlone, Raffaele
dc.contributor.authorTentarelli, Lorenzo
dc.date.accessioned2019-03-25T13:27:17Z
dc.date.available2019-03-25T13:27:17Z
dc.date.issued2019
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18564
dc.language.isoenen
dc.subjectmetric graphsen
dc.subjectNLSen
dc.subjectNLDen
dc.subjectground statesen
dc.subjectbound statesen
dc.subjectlocalized nonlinearityen
dc.subjectnonrelativistic limiten
dc.subject.ddc515en
dc.titleAn overview on the standing waves of nonlinear Schroedinger and Dirac equations on metric graphs with localized nonlinearityen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe present a brief overview on the existence/nonexistence of standing waves for the NonLinear Schrödinger and the NonLinear Dirac Equations (NLSE/NLDE) on metric graphs with localized nonlinearity. We first focus on the NLSE, both in the subcritical and the critical case, and then on the NLDE, highlighting similarities and differences with the NLSE. Finally, we show how the two equations are related in the nonrelativistic limit, proving the convergence of bound states.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages20en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2019-01
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-03-25T13:19:44Z
hal.person.labIds60
hal.person.labIds42093
hal.person.labIds92732


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record