A Banach-scales approach is used for studying analytic solutions of systems of linear partial differential equations satisfying the Leray-Volevich conditions. Results on the Cauchy problem lead to a continuation result which is of the same type as the well known result of Widder  on analytic solutions of the heat equation.
Cite this article
W. Watzlawek, Remarks on Analytic Solutions of Leray-Volevich-Coupled Systems. Z. Anal. Anwend. 16 (1997), no. 2, pp. 363–375