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


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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