Boundary value problems for third-order linear PDEs in time-dependent domains

We present the extension of a methodology to solve moving boundary value problems from the second-order case to the case of the third-order linear evolution PDE qt + qxxx = 0. This extension is the crucial step needed to generalize this methodology to PDEs of arbitrary order. The methodology is based on the derivation of inversion formulae for a class of integral transforms that generalize the Fourier transform and on the analysis of the global relation associated with the PDE. The study of this relation and its inversion using the appropriate generalized transform are the main elements of the proof of our results.

A traitor's death? The identity of a drawn, hanged and quartered man from Hulton Abbey, Staffordshire

Analysis of a set of bones redeposited in a medieval abbey graveyard showed that the individual had been beheaded and chopped up, and this in turn suggested one of England's more gruesome I execution practices. Since quartering was generally reserved for the infamous, the author attempts to track down the victim and proposes him to be Hugh Despenser, the lover of King Edward II.