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Heat Content Asymptotics with Inhomogeneous Neumann and Dirichlet Boundary Conditions |
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| Authors: | van den Berg M. Gilkey P. |
| Affiliation: | (1) chool of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW, U.K.;(2) Mathematics Department, University of Oregon, Eugene, Or, 97403, U.S.A. |
| Abstract: | Let M be a compact manifold with smooth boundary. We establish the existence of an asymptotic expansion for the heat content asymptotics of M with inhomogeneous Neumann and Dirichlet boundary conditions. We prove all the coefficients are locally determined and determine the first several terms in the asymptotic expansion. |
| Keywords: | inhomogeneous boundary conditions heat content asymptotics. |
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