Heat Content, Heat Trace, and Isospectrality
Analysis of PDEs
2008-02-22 v1
Abstract
We study the heat content function, the heat trace function, and questions of isospectrality for the Laplacian with Dirichlet boundary conditions on a compact manifold with smooth boundary in the context of finite coverings and warped products.
Keywords
Cite
@article{arxiv.0802.2948,
title = {Heat Content, Heat Trace, and Isospectrality},
author = {Peter B. Gilkey},
journal= {arXiv preprint arXiv:0802.2948},
year = {2008}
}