Heat Content Asymptotics for Riemannian manifolds with Zaremba boundary   conditions
  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. 
M. van den Berg, P. Gilkey, K. Kirsten, and V. A. Kozlov