Heat Content Asymptotics for Riemannian manifolds with Zaremba boundary conditions
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0506076,
title = {Heat Content Asymptotics for Riemannian manifolds with Zaremba boundary conditions},
author = {M. van den Berg and P. Gilkey and K. Kirsten and V. A. Kozlov},
journal= {arXiv preprint arXiv:math-ph/0506076},
year = {2008}
}
Comments
24 pages