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Hardy Inequality and Weighted Heat Trace

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Abstract

Upper bounds are obtained for the heat trace weighted by a negative power of the distance to the boundary of an open set D in a complete Riemannian manifold, provided the Dirichlet-Laplace-Beltrami operator acting in L 2(D) satisfies a strong Hardy inequality.

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  1. Department of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW, UK

    M. van den Berg

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  1. M. van den Berg
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Correspondence to M. van den Berg.

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van den Berg, M. Hardy Inequality and Weighted Heat Trace. Potential Anal 30, 201–209 (2009). https://doi.org/10.1007/s11118-008-9111-7

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  • DOI: https://doi.org/10.1007/s11118-008-9111-7

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