Heat Content Asymptotics for Riemannian manifolds with Zaremba boundary conditions

Details Heat Content Asymptotics for Riemannian manifolds with Zaremba boundary conditions Heat Content Asymptotics for Riemannian manifolds with Zaremba boundary conditions

2005-06-30

arxiv.org/abs/math-ph/0506076v1

PotentialAnal.26:225-254,2007

Physics

Mathematical Physics

24 pages

Scientific paper

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.

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