Existence and Uniqueness results for linear second-order equations in the Heisenberg group

dc.creatorOchoa, Pablo Daniel
dc.creatorRuiz, Julio Alejo
dc.date.accessioned2018-01-18T21:16:23Z
dc.date.accessioned2018-11-06T11:59:26Z
dc.date.available2018-01-18T21:16:23Z
dc.date.available2018-11-06T11:59:26Z
dc.date.created2018-01-18T21:16:23Z
dc.date.issued2017-07
dc.identifierOchoa, Pablo Daniel; Ruiz, Julio Alejo; Existence and Uniqueness results for linear second-order equations in the Heisenberg group; Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 42; 7-2017; 1065–1083
dc.identifier1239-629X
dc.identifierhttp://hdl.handle.net/11336/33908
dc.identifier1798-2383
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1861943
dc.description.abstractIn this manuscript, we prove uniqueness and existence results of viscosity solutions for a class of linear second-order equations in the Heisenberg group. We state uniqueness by proving a comparison result to our class of equations, and existence via an application of Perron’s method adapted to our framework. We also provide the explicit construction of the appropriate sub- and supersolutions employed by Perron’s method for a variety of domains in the Heisenberg group.
dc.languageeng
dc.publisherSuomalainen Tiedeakatemia
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.acadsci.fi/mathematica/Vol42/vol42pp1065-1083.pdf
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectPDE
dc.subjectHEISENBERG GROUP
dc.subjectVISCOSITY SOLUTIONS
dc.subjectCOMPARISON PRINCIPLE
dc.titleExistence and Uniqueness results for linear second-order equations in the Heisenberg group
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución