Heat trace asymptotics with singular weight functions
Analysis of PDEs
2008-11-03 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We study the weighted heat trace asymptotics of an operator of Laplace type with Dirichlet boundary conditions where the weight function exhibits radial blowup. We give formulas for the first few terms in the expansion in terms of geometrical data.
Cite
@article{arxiv.0806.1706,
title = {Heat trace asymptotics with singular weight functions},
author = {M. van den Berg and P. Gilkey and K. Kirsten and R. Seeley},
journal= {arXiv preprint arXiv:0806.1706},
year = {2008}
}