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Heat Content Asymptotics for Riemannian Manifolds with Zaremba Boundary Conditions |
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| Authors: | M. van den Berg P. Gilkey K. Kirsten V. A. Kozlov |
| Affiliation: | 1.Department of Mathematics,University of Bristol,Bristol,UK;2.Mathematics Department,University of Oregon,Eugene,USA;3.Department of Mathematics,Baylor University,Waco,USA;4.Mathematics Department,Link?ping University,Link?ping,Sweden |
| Abstract: | The existence of a full asymptotic expansion for the heat content asymptotics of an operator of Laplace type with classical Zaremba boundary conditions on a smooth manifold is established. The first three coefficients in this asymptotic expansion are determined in terms of geometric invariants; partial information is obtained about the fourth coefficient. |
| Keywords: | Dirichlet boundary conditions heat content asymptotics N/D problem Robin boundary conditions Zaremba problem |
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