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Heat trace asymptotics with singular weight functions

2008/06/10 by M. van den Berg, P. Gilkey, Berg, M. van den +5
Mathematics · Physics and Astronomy · #35K20 #35P99 #58J35 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.AP #math.MP #msc:35K20 #msc:35P99 #msc:58J35

paper · pdf · doi:10.48550/arxiv.0806.1706

arxiv created 2008/06/10 · arxiv updated 2009/12/01

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.

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