Asymptotics of the heat equation with `exotic' boundary conditions or with time dependent coefficients
Mathematical Physics
2009-11-07 v2 High Energy Physics - Theory
math.MP
Spectral Theory
Abstract
The heat trace asymptotics are discussed for operators of Laplace type with Dirichlet, Robin, spectral, D/N, and transmittal boundary conditions. The heat content asymptotics are discussed for operators with time dependent coefficients and Dirichlet or Robin boundary conditions.
Keywords
Cite
@article{arxiv.math-ph/0105009,
title = {Asymptotics of the heat equation with `exotic' boundary conditions or with time dependent coefficients},
author = {Peter B. Gilkey and Klaus Kirsten and JeongHyeong Park and Dmitri Vassilevich},
journal= {arXiv preprint arXiv:math-ph/0105009},
year = {2009}
}
Comments
A talk of P.B. Gilkey at "Quantum Gravity and Spectral Geometry", Naples, July 2001, to appear in the proceedings v2: a misprint in eq. (3) corrected