Heat Content Asymptotics for Riemannian manifolds with Zaremba boundary conditions
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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.
24 pages
24 pages