Heat content asymptotics with singular data

Details Heat content asymptotics with singular data Heat content asymptotics with singular data

2012-01-20

arxiv.org/abs/1201.4350v1

Mathematics

Analysis of PDEs

Scientific paper

We study the asymptotic behaviour of the heat content on a compact Riemannian
manifold with boundary and with singular specific heat and singular initial
temperature distributions. Assuming the existence of a complete asymptotic
series we determine the first three terms in that series. In addition to the
general setting, the interval is studied in detail.

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