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arxiv: 0803.0675 · v1 · submitted 2008-03-05 · 🧮 math.AP

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Heat content

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keywords boundarycontentexpansionheatasymptoticasymptoticsblowupcomplete
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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.

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