Global hypoellipticity of a Mathieu operator
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- by Masafumi Yoshino PDF
- Proc. Amer. Math. Soc. 111 (1991), 717-720 Request permission
Abstract:
We give a necessary and sufficient condition for the global hypoellipticity of a Mathieu operator on the torus ${\mathbb {T}^d}$ in terms of continued fractions. It is not hypoelliptic, nor does it satisfy a controllability condition, a Hörmander condition, or a Siegel condition. But it is still globally hypoelliptic (cf. [1, 3]).References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 717-720
- MSC: Primary 35H05; Secondary 58G99
- DOI: https://doi.org/10.1090/S0002-9939-1991-1042277-2
- MathSciNet review: 1042277