Heat Content of a Riemannian Manifold with a Perfect Conducting Boundary |
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Authors: | van den Berg M |
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Institution: | (1) School of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW, U.K |
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Abstract: | Let M be a compact smooth Riemannian manifold with smooth boundary. We establish the existence of an asymptotic series for the heat content of M with a perfect conducting boundary and show that the coefficients in the series are non-local invariants which are recursively determined by the coefficients for the series with corresponding zero Dirichlet boundary condition. |
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Keywords: | Riemannian manifold boundary heat content asymptotics |
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