Convex domains with stationary hot spots
Marc Chamberland, David A Siegel · Mathematical Methods in the Applied Sciences · 1997
Consider the problem of heat flow in a convex domain in ℝn with Dirichlet boundary condition and constant initial temperature. We show that the solution has a fixed hot spot if the domain is invariant under the action of an essential symmetry group. © 1997 by B. G. Teubner Stuttgart–John Wiley & Sons Ltd.