Heat trace asymptotics with singular weight functions

Details Heat trace asymptotics with singular weight functions Heat trace asymptotics with singular weight functions

2008-06-10

arxiv.org/abs/0806.1706v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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