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dc.contributor.authorDíaz Palencia, José Luis 
dc.date.accessioned2022-01-13T13:07:53Z
dc.date.available2022-01-13T13:07:53Z
dc.date.issued2022
dc.identifier.issn2473-6988spa
dc.identifier.urihttp://hdl.handle.net/10641/2661
dc.description.abstractThe intention along this work is to provide analytical approaches for a degenerate parabolic equation formulated with a p-Laplacian operator and heterogeneous non-Lipschitz reaction. Firstly, some results are discussed and presented in relation with uniqueness, existence and regularity of solutions. Due to the degenerate diffusivity induced by the p-Laplacian operator (specially when ∇u=0, or close zero), solutions are studied in a weak sense upon definition of an appropriate test function. The p-Laplacian operator is positive for positive solutions. This positivity condition is employed to show the regularity results along propagation. Afterwards, profiles of solutions are explored specially to characterize the propagating front that exhibits the property known as finite propagation speed. Finally, conditions are shown to the loss of compact support and, hence, to the existence of blow up phenomena in finite time.spa
dc.language.isoengspa
dc.publisherAIMS Mathematicsspa
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subjectP-Laplacespa
dc.subjectNon-Lipschitzspa
dc.subjectDegenerate diffusionspa
dc.subjectHeterogeneous reactionspa
dc.subjectBlow-upspa
dc.subjectCritical exponentspa
dc.titleNon-Lipschitz heterogeneous reaction with a p-Laplacian operator.spa
dc.typearticlespa
dc.description.versionpost-printspa
dc.rights.accessRightsopenAccessspa
dc.description.extent288 KBspa
dc.identifier.doi10.3934/math.2022189spa
dc.relation.publisherversionhttps://www.aimspress.com/article/doi/10.3934/math.2022189spa


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Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España