Heat Kernel : rencontre entre physiciens et mathématiciens
G. A. Vilkovisky (1992)
Recherche Coopérative sur Programme n°25
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G. A. Vilkovisky (1992)
Recherche Coopérative sur Programme n°25
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Thierry Coulhon (1998)
Journées équations aux dérivées partielles
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In this talk we shall present some joint work with A. Grigory’an. Upper and lower estimates on the rate of decay of the heat kernel on a complete non-compact riemannian manifold have recently been obtained in terms of the geometry at infinity of the manifold, more precisely in terms of a kind of isoperimetric profile. The main point is to connect the decay of the norm of the heat semigroup with some adapted Nash or Faber-Krahn inequalities, which is done by functional analytic methods....
Byun, Du-Won (1998)
Journal of Inequalities and Applications [electronic only]
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Tomáš Roubíček (2001)
Mathematica Bohemica
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Steady-state system of equations for incompressible, possibly non-Newtonean of the -power type, viscous flow coupled with the heat equation is considered in a smooth bounded domain , or 3, with heat sources allowed to have a natural -structure and even to be measures. The existence of a distributional solution is shown by a fixed-point technique for sufficiently small data if (for ) or if (for ).
G. K. Dhawan, D. D. Paliwal (1977)
Publications de l'Institut Mathématique
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Elena Comparini, Domingo A. Tarzia (1985)
Rendiconti del Seminario Matematico della Università di Padova
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