On global hypoellipticity of degenerate elliptic operators |
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| Authors: | A Alexandrou Himonas Gerson Petronilho |
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| Institution: | Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA (e-mail: alex.a.himonas.1@nd.edu), US
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| Abstract: | We consider a class of degenerate elliptic operators on a torus and prove that global hypoellipticity is equivalent to an
algebraic condition involving Liouville vectors and simultaneous approximability. For another class of operators we show that
the zero order term may influence global hypoellipticity.
Received August 13, 1997 |
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| Keywords: | Mathematics Subject Classification (1991):35H05 |
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