On 𝐶^{∞} and Gevrey regularity of sublaplacians

Himonas, A.; Petronilho, Gerson

doi:10.1090/S0002-9947-06-03819-0

On $C^\infty$ and Gevrey regularity of sublaplacians
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by A. Alexandrou Himonas and Gerson Petronilho PDF

Trans. Amer. Math. Soc. 358 (2006), 4809-4820 Request permission

Abstract:

In this paper we consider zero order perturbations of a class of sublaplacians on the two-dimensional torus and give sufficient conditions for global $C^\infty$ regularity to persist. In the case of analytic coefficients, we prove Gevrey regularity for a general class of sublaplacians when the finite type condition holds.

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