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.
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van den Berg, M., Gilkey, P., Kirsten, K. et al. Heat Content Asymptotics for Riemannian Manifolds with Zaremba Boundary Conditions. Potential Anal 26, 225–254 (2007). https://doi.org/10.1007/s11118-005-9001-1
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DOI: https://doi.org/10.1007/s11118-005-9001-1
Key words
- Dirichlet boundary conditions
- heat content asymptotics
- N/D problem
- Robin boundary conditions
- Zaremba problem