A Holmgren type theorem for partial differential equations whose coefficients are Gevrey functions

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 $C^p$-solution to the zero initial-valued problem is the identically zero function. To prove this r...

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Bibliographic Details
Main Author: Masaki Kawagishi
Format: Article
Language:English
Published: Texas State University 2010-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/74/abstr.html