Divergent solutions of the heat equation: On an article of Lutz, Miyake and Schäfke

Werner Balser

Vol. 188 (1999), No. 1, 53–63

DOI: 10.2140/pjm.1999.188.53

Abstract

In this article, we generalize results of Lutz, Miyake and Schäfke concerning summability of formal solutions of the Cauchy problem for the complex heat equation. In particular, we show that the type of summability depends on the given initial condition.

Milestones

Received: 12 March 1997

Revised: 26 April 1997

Published: 1 March 1999