Heat content asymptotics with singular data
M. van den Berg, Peter Gilkey · Journal of Physics A Mathematical and Theoretical · 2012
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.