Heat content asymptotics with singular data
Analysis of PDEs
2015-06-03 v1
Abstract
We study the asymptotic behaviour of the heat content on a compact Riemannian manifold with boundary and with singular specific heat and singular initial temperature distributions. Assuming the existence of a complete asymptotic series we determine the first three terms in that series. In addition to the general setting, the interval is studied in detail.
Cite
@article{arxiv.1201.4350,
title = {Heat content asymptotics with singular data},
author = {M. van den Berg and P. Gilkey},
journal= {arXiv preprint arXiv:1201.4350},
year = {2015}
}