Geodesic
Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 4, pp. 637-644

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The problems of Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators are studied by several authors (see [1]--[5]). In this paper we obtain the Gevrey hypoellipticity for a degenerated quasi-elliptic operator in $\Bbb R^2$, without any restriction on the characteristic polyhedron.
Classification : 35B05, 35H10, 35H35, 35J60, 35J70
Keywords: Gevrey class; Gevrey hypoellipticity; hypoelliptic operator; degenerated \newline quasi-elliptic operator 
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Hakobyan, G. O.; Margaryan, V. N. Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 4, pp. 637-644. http://geodesic.mathdoc.fr/item/CMUC_2003__44_4_a7/