A short remark on a Growth Fragmentation equation

Abstract

An explicit solution for a growth fragmentation equation with constant dislocation measure is obtained. In this example the necessary condition for the general results in \cite{BW} about the existence of global solutions in the so called self similar case is not satisfied. The solution is local and blows up in finite time.

Revised version. Added a reference. Corrected two misprints, in formulas (15) and (29)