Heat content and Hardy inequality for complete Riemannian manifolds |
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| Authors: | M. van den Berg |
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| Affiliation: | School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK |
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| Abstract: | Upper bounds are obtained for the heat content of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator satisfies a strong Hardy inequality, and the distance function on D satisfies an integrability condition. |
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| Keywords: | Riemannian manifold Heat content Hard inequality |
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