On a conjecture of Laugesen and Morpurgo

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dc.creatorPascu, Mihai N.
dc.creatorGageonea, Maria E.
dc.date2008-07-29
dc.date2008-07-29
dc.date.accessioned2026-07-07T09:53:34Z
dc.date.available2026-07-07T09:53:34Z
dc.descriptionA well known conjecture of R. Laugesen and C. Morpurgo asserts that the diagonal element of the Neumann heat kernel of the unit ball in $\mathbb{R}^{n}$ ($n\geq1$) is a radially increasing function. In this paper, we use probabilistic arguments to settle this conjecture, and, as an application, we derive a new proof of the Hot Spots conjecture of J. Rauch in the case of the unit disk.
dc.description14 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0807.4726
dc.identifierhttp://arxiv.org/abs/0807.4726
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166001
dc.subjectProbability
dc.subjectAnalysis of PDEs
dc.subject60J65, 60J35
dc.titleOn a conjecture of Laugesen and Morpurgo
dc.typetext

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