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dc.contributor.authorGameiro, M.
dc.contributor.authorLessard, J.-P.
dc.date.accessioned2017-02-21T08:19:29Z
dc.date.available2017-02-21T08:19:29Z
dc.date.issued2011-12-31
dc.identifier.issn0362-546X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/632
dc.description.abstractIn this paper, we introduce a method to conclude about the existence of secondary bifurcations or isolas of steady state solutions for parameter dependent nonlinear partial differential equations. The technique combines the Global Bifurcation Theorem, knowledge about the non-existence of nontrivial steady state solutions at the zero parameter value and explicit information about the coexistence of multiple nontrivial steady states at a positive parameter value. We apply the method to the two-dimensional SwiftHohenberg equation.
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.subjectBifurcations of equilibria for PDEs
dc.subjectGlobal Bifurcation Theorem
dc.subjectRigorous numerics
dc.subjectSecondary bifurcation
dc.titleExistence of secondary bifurcations or isolas for PDEsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.na.2011.03.046
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-79955760238&doi=10.1016%2fj.na.2011.03.046&partnerID=40&md5=9636821089bfba307a17db597a3248e0
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleNonlinear Analysis, Theory, Methods and Applicationsen_US


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