Heat kernels on non-compact riemannian manifolds : a partial survey
Thierry Coulhon (1996-1997)
Séminaire de théorie spectrale et géométrie
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Displaying similar documents to “Large time behaviour of heat kernels on non-compact manifolds: fast and slow decays”
Heat kernels on non-compact riemannian manifolds : a partial survey
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Manlio Bordoni (2000)
Bulletin de la Société Mathématique de France
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Embedding Riemannian Manifolds by Their Heat Kernel.
S. Gallot, G. Besson, P. Bérard (1994)
Geometric and functional analysis
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An estimate on the hessian of the heat kernel
Daniel W. Stroock (1995)
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Heat Kernel : rencontre entre physiciens et mathématiciens
G. A. Vilkovisky (1992)
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A geometric approach to on-diagonal heat kernel lower bounds on groups
Thierry Coulhon, Alexander Grigor'yan, Christophe Pittet (2001)
Annales de l’institut Fourier
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We introduce a new method for obtaining heat kernel on-diagonal lower bounds on non- compact Lie groups and on infinite discrete groups. By using this method, we are able to recover the previously known results for unimodular amenable Lie groups as well as for certain classes of discrete groups including the polycyclic groups, and to give them a geometric interpretation. We also obtain new results for some discrete groups which admit the structure of a semi-direct product or of a wreath...
Some remarks on gradient estimates for heat kernels.
Dungey, Nick (2006)
Abstract and Applied Analysis
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Exponential decay to partially thermoelastic materials
Jaime E. Muñoz Rivera, Vanilde Bisognin, Eleni Bisognin (2002)
Bollettino dell'Unione Matematica Italiana
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We study the thermoelastic system for material which are partially thermoelastic. That is, a material divided into two parts, one of them a good conductor of heat, so there exists a thermoelastic phenomenon. The other is a bad conductor of heat so there is not heat flux. We prove for such models that the solution decays exponentially as time goes to infinity. We also consider a nonlinear case.