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math.AP2008
Heat trace asymptotics with singular weight functions
M. van den Berg, P. Gilkey, K. Kirsten +1
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 fo…
math.AP2008
Heat content
M. van den Berg, P. Gilkey, R. Seeley
We study the heat content asymptotics with either Dirichlet or Robin boundary conditions where the initial temperature exhibits radial blowup near the boundary. We show that there…
math.AP2008
Heat Content, Heat Trace, and Isospectrality
Peter B. Gilkey
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…