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.
Key words Dirichlet boundary conditions - heat content asymptotics - N/D problem - Robin boundary conditions - Zaremba problem
Mathematics Subject Classifications (2000) 58J35 - 35P99