In this article, we consider a uniqueness theorem of Holmgren type for p-th order Kovalevskaja linear partial differential equations whose coefficients are Gevrey functions. We prove that the only -solution to the zero initial-valued problem is the identically zero function. To prove this result we use the uniqueness theorem for higher-order ordinary differential equations in Banach scales.
Submitted March 28, 2010. Published May 21, 2010.
Math Subject Classifications: 35A05, 35A10, 35G10.
Key Words: Banach scale; Gevery function; Holmgren type; Uniqueness theorem.
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| Masaki Kawagishi |
Department of General Education College of Science and Technology, Nihon University
1-8-14 Kanda-Surugadai, Chiyoda-ku, Tokyo 101-8308, Japan
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