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dc.contributor.authorKawohl, Bernhard
dc.contributor.authorKutev, Nickolai
dc.date.accessioned2009-03-20T12:00:31Z
dc.date.accessioned2016-10-05T14:14:11Z
dc.date.available2009-03-20T12:00:31Z
dc.date.available2016-10-05T14:14:11Z
dc.date.issued2009-03-04
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1144
dc.descriptionResearch in Pairs 2009en_US
dc.description.abstractWe investigate sharp conditions for boundary and interior gradient estimates of continuous viscosity solutions to fully nonlinear, uniformly elliptic equations under Dirichlet boundary conditions. When these conditions are violated, there can be blow up of the gradient in the interior or on the boundary of the domain. In particular we derive results on local and global Lipschitz continuity of continuous viscosity solutions. Lipschitz regularity near the boundary allows us to predict when the Dirichlet condition is satisfied in a classical and not just in a viscosity sense, where detachment can occur. Another consequence is this: if interior gradient blow up occurs, Perron-type solutions can in general become discontinuous, so that the Dirichlet problem can become unsolvable in the class of continuous viscosity solutions.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2009,10
dc.subjectfully nonlinear elliptic equationsen_US
dc.subjectviscosity solutionsen_US
dc.subjectgradient estimatesen_US
dc.subjectgradient blow upen_US
dc.titleA study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equationsen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2009-10
local.scientificprogramResearch in Pairs 2009
local.series.idOWP-2009-10
dc.identifier.urnurn:nbn:de:101:1-2009052801
dc.identifier.ppn1649512481


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