Heat content with singular initial temperature and singular specific heat
Analysis of PDEs
2014-01-27 v1
Abstract
Let (M,g) be a compact Riemannian manifold without boundary. Let D be a compact subdomain of M with smooth boundary. We examine the heat content asymptotics for the heat flow from D into M where both the initial temperature and the specific heat are permitted to have controlled singularities on the boundary of D. The operator driving the heat process is assumed to be an operator of Laplace type
Keywords
Cite
@article{arxiv.1401.6373,
title = {Heat content with singular initial temperature and singular specific heat},
author = {M. van den Berg and P. Gilkey},
journal= {arXiv preprint arXiv:1401.6373},
year = {2014}
}