Turing patterns, Lengyel–Epstein systems and Faber splines

This paper deals with the Lengyel–Epstein CIMA (chlorite-iodide-malonic acid) system of non-linear parabolic equations in the context of function spaces, especially of Hölder-Zygmund type. We discuss in particular the size of Turing patterns (if occur) in dependence on initial data. This will be based on expansions in terms of Faber splines.