A HOLMGREN TYPE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS WHOSE COEFFICIENTS ARE GEVREY FUNCTIONS

作者：Kawagishi Masaki^*

来源：Electronic Journal of Differential Equations, 2010, 74.

• Banach scale
• Gevery function
• Holmgren type
• Uniqueness theorem

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 result we use the uniqueness theorem for higher-order ordinary differential equations in Banach scales.

• 出版日期2010-5-21