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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 Kozlov
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.