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dc.contributor.authorKogoj, A.E.
dc.contributor.authorSonner, S.
dc.date.accessioned2016-06-13T13:33:48Z
dc.date.available2016-06-13T13:33:48Z
dc.date.issued2014-12-31
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/219
dc.description.abstractWe consider degenerate parabolic and damped hyperbolic equations involving an operator L, that is X-elliptic with respect to a family of locally Lipschitz continuous vector fields X={X1,... Xm}. The local well-posedness is established under subcritical growth restrictions on the nonlinearity f, which are determined by the geometry and functional setting naturally associated with the family of vector fields X. Assuming additionally that f is dissipative, the global existence of solutions follows, and we can characterize their longtime behavior using methods from the theory of infinite dimensional dynamical systems.
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.titleAttractors met X-elliptic operators
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.jmaa.2014.05.070
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0022247X14005125
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/246775en_US
dc.relation.projectIDES/6PN/MTM2011-29306-C02-01en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleJournal of Mathematical Analysis and Applicationsen_US


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