On uniqueness in the Cauchy problem for systems with partial analytic coe±cients

The problem of the uniqueness in the Cauchy problem is a fundamental problem in a theory of partial di®erential equation. In this paper, we consider the uniqueness in the Cauchy problem for systems with partial analytic coe±cients. In the case when coe±cients are analytic, by Holmgren's theorem, the uniqueness holds for an