Geodesic
A Holmgren type theorem for partial differential equations whose coefficients are Gevrey functions
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35A05, 35A10, 35G10
Keywords: Banach scale, gevery function, holmgren type, uniqueness theorem 
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     author = {Kawagishi, Masaki},
     title = {A {Holmgren} type theorem for partial differential equations whose coefficients are {Gevrey} functions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a252/}
}
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Kawagishi, Masaki. A Holmgren type theorem for partial differential equations whose coefficients are Gevrey functions. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a252/