Heat Content Asymptotics for Riemannian Manifolds with Zaremba Boundary Conditions
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- van den Berg, M., Gilkey, P., Kirsten, K. et al. Potential Anal (2007) 26: 225. doi:10.1007/s11118-005-9001-1
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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.