Global hypoellipticity for sublaplacians (Q2713039)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global hypoellipticity for sublaplacians |
scientific article |
Statements
8 April 2002
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torus
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bracket condition
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Global hypoellipticity for sublaplacians (English)
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This paper deals with the global hypoellipticity on the torus \(\mathbb{T}^3\) for a class of operators written in the form of a sum of squares of real-valued \(C^\infty\)-smooth vector fields. The well-known Hörmander's bracket condition may not be satisfied. Then a necessary and sufficient condition for global hypoellipticity on \(\mathbb{T}^3\) is proved.
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