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Displaying similar documents to “Convergence to equilibrium and logarithmic Sobolev constant on manifolds with Ricci curvature bounded below”

Large time behaviour of heat kernels on non-compact manifolds: fast and slow decays

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 L 2 isoperimetric profile. The main point is to connect the decay of the L 1 - L norm of the heat semigroup with some adapted Nash or Faber-Krahn inequalities, which is done by functional analytic methods....