Displaying similar documents to “A note on parabolic convexity and heat conduction”

Short-time heat flow and functions of bounded variation in R N

Michele Miranda, Diego Pallara, Fabio Paronetto, Marc Preunkert (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

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We prove a characterisation of sets with finite perimeter and B V functions in terms of the short time behaviour of the heat semigroup in R N . For sets with smooth boundary a more precise result is shown.

Brownian penalisations related to excursion lengths, VII

B. Roynette, P. Vallois, M. Yor (2009)

Annales de l'I.H.P. Probabilités et statistiques

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Limiting laws, as →∞, for brownian motion penalised by the longest length of excursions up to , or up to the last zero before , or again, up to the first zero after , are shown to exist, and are characterized.

Harnack inequalities on a manifold with positive or negative Ricci curvature.

Dominique Bakry, Zhongmin M. Qian (1999)

Revista Matemática Iberoamericana

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Several new Harnack estimates for positive solutions of the heat equation on a complete Riemannian manifold with Ricci curvature bounded below by a positive (or a negative) constant are established. These estimates are sharp both for small time, for large time and for large distance, and lead to new estimates for the heat kernel of a manifold with Ricci curvature bounded below.