This article is cited in 1 scientific paper (total in 1 paper)
On a functional index of hypoellipticity
G. G. Kazaryan
The concept of hypoellipticity weight, which generalizes Hörmander's concept of index of hypoellipticity, is introduced for linear differential operators with constant coefficients. Exact formulas are derived for the hypoellipticity weight of regular hypoelliptic operators. These formulas are applied to determine more exactly the Gevrey classes to which the solutions of a regular hypoelliptic equation belong. The results are shown to be unimprovable in terms of Gevrey classes.
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Mathematics of the USSR-Sbornik, 1987, 56:2, 333–347
G. G. Kazaryan, “On a functional index of hypoellipticity”, Mat. Sb. (N.S.), 128(170):3(11) (1985), 339–353; Math. USSR-Sb., 56:2 (1987), 333–347
Citation in format AMSBIB
\paper On a~functional index of hypoellipticity
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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Hakobyan G. Margarjan V., “Behavior of the Higher Order Derivatives of Solutions of a Class of Nonhypoelliptic Equations in the Infinite Cylinder”, Proceedings of the Second ISAAC Congress, Vols 1 and 2, International Society for Analysis, Applications and Computation, 7, ed. Begehr H. Gilbert R. Kajiwara J., Springer, 2000, 1143–1147
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