Heat content
Analysis of PDEs
2008-03-06 v1
Abstract
We study the heat content asymptotics with either Dirichlet or Robin boundary conditions where the initial temperature exhibits radial blowup near the boundary. We show that there is a complete small-time asymptotic expansion and give explicit geometrical formulas for the first few terms in the expansion.
Cite
@article{arxiv.0803.0675,
title = {Heat content},
author = {M. van den Berg and P. Gilkey and R. Seeley},
journal= {arXiv preprint arXiv:0803.0675},
year = {2008}
}