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Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions
Michiel van den Berg, Peter B. Gilkey, Klaus Kirsten and Vladimir KozlovAbstract
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.
- Received:
- 17.06.05
- Published:
- 17.06.05
- MSC Codes:
- 58J35, 35P99
- Keywords:
- heat content asymptotics, n/d problem, zaremba problem