For the solution of the diffusion equation of Satsuma and Mimura in the spatially periodic case general formulae are given. Furthermore some simple criteria for existence and non-existence of the solution for all times are derived and illustrated by examples.
Cite this article
Lothar von Wolfersdorf, On the Linearization of the Satsuma-Mimura Diffusion Equation in the Spatial Periodic Case. Z. Anal. Anwend. 10 (1991), no. 2, pp. 193–200DOI 10.4171/ZAA/441