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.
|Translated title of the contribution||Heat content asymptotics with singular initial temperature distributions|
|Pages (from-to)||3093 - 3122|
|Number of pages||30|
|Journal||Journal of Functional analysis|
|Volume||254, issue 12|
|Publication status||Published - Jun 2008|