Growth of heat trace and heat content asymptotic coefficients
Analysis of PDEs
2011-05-10 v1
Abstract
We show in the smooth category that the heat trace asymptotics and the heat content asymptotics can be made to grow arbitrarily rapidly. In the real analytic context, however, this is not true and we establish universal bounds on their growth.
Keywords
Cite
@article{arxiv.1105.1762,
title = {Growth of heat trace and heat content asymptotic coefficients},
author = {M. van den Berg and Peter Gilkey and K. Kirsten},
journal= {arXiv preprint arXiv:1105.1762},
year = {2011}
}