Electron. J. Diff. Equ.,
Vol. 2010(2010), No. 74, pp. 114.
A Holmgren type theorem for partial differential equations
whose coefficients are Gevrey functions
Masaki Kawagishi
Abstract:
In this article, we consider a uniqueness theorem of Holmgren type
for pth order Kovalevskaja linear partial differential equations
whose coefficients are Gevrey functions. We prove that the
only
solution to the zero initialvalued problem is
the identically zero function. To prove this result we use the
uniqueness theorem for higherorder 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
1814 KandaSurugadai, Chiyodaku, Tokyo 1018308, Japan
email: masaki@suruga.ge.cst.nihonu.ac.jp

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