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dc.contributor.authorAlonso Orán, Diego
dc.contributor.authorChamizo, Fernando
dc.contributor.authorMartínez Martínez, Ángel David
dc.contributor.authorMas Blesa, Albert
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2022-02-01T13:52:33Z
dc.date.available2022-12-13T01:26:54Z
dc.date.issued2021-12-13
dc.identifier.citationAlonso, D. [et al.]. Pointwise monotonicity of heat kernels. "Revista Matematica Complutense", 13 Desembre 2021, p. 1-14.
dc.identifier.issn1139-1138
dc.identifier.urihttp://hdl.handle.net/2117/361251
dc.description.abstractIn this paper we present an elementary proof of a pointwise radial monotonicity property of heat kernels that is shared by the Euclidean spaces, spheres and hyperbolic spaces. The main result was discovered by Cheeger and Yau in 1981 and rediscovered in special cases during the last few years. It deals with the monotonicity of the heat kernel from special points on revolution hypersurfaces. Our proof hinges on a non straightforward but elementary application of the parabolic maximum principle. As a consequence of the monotonicity property, we derive new inequalities involving classical special functions.
dc.format.extent14 p.
dc.language.isoeng
dc.publisherSpringer
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.titlePointwise monotonicity of heat kernels
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions
dc.identifier.doi10.1007/s13163-021-00417-8
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
dc.subject.amsClassificació AMS::35 Partial differential equations::35K Parabolic equations and systems
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s13163-021-00417-8
dc.rights.accessOpen Access
local.identifier.drac32447111
dc.description.versionPostprint (author's final draft)
local.citation.authorAlonso, D.; Chamizo, F.; Martínez, Á.D.; Mas, A.
local.citation.publicationNameRevista Matematica Complutense
local.citation.startingPage1
local.citation.endingPage14


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