On the global      and Gevrey hypoellipticity on the  torus  of some classes of  degenerate elliptic operators

doi:10.1285/i15900932v31n1p1

On the global $\text{[math]}$ and Gevrey hypoellipticity on the torus of some classes of degenerate elliptic operators

Angela A. Albanese

Abstract

In this paper we prove the global $C^\infty$ and Gevrey hypoellipticity on the multidimensional torus for some classes of degenerate elliptic operators.

DOI Code: 10.1285/i15900932v31n1p1

Keywords: Global hypoellipticity ; Liouville number ; Diophantine condition

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On the global and Gevrey hypoellipticity on the torus of some classes of degenerate elliptic operators

Abstract

On the global $\text{[math]}$ and Gevrey hypoellipticity on the torus of some classes of degenerate elliptic operators