Heat Content Asymptotics with Singular Initial Temperature Distributions
نویسندگان
چکیده
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 is a complete small-time asymptotic expansion and give explicit geometrical formulas for the first few terms in the expansion.
منابع مشابه
The spectral geometry of operators of Dirac and Laplace type
Contents 1 Introduction 2 The geometry of operators of Laplace and Dirac type 3 Heat trace asymptotics for closed manifolds 4 Hearing the shape of a drum 5 Heat trace asymptotics of manifolds with boundary 6 Heat trace asymptotics and index theory 7 Heat content asymptotics 8 Heat content with source terms 9 Time dependent phenomena 10 Spectral boundary conditions 11 Operators which are not of ...
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