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ISSN 1088-6850(e) ISSN 0002-9947(p)

On $C^\infty$ and Gevrey regularity of sublaplacians

Authors: A. Alexandrou Himonas and Gerson Petronilho
Journal: Trans. Amer. Math. Soc. 358 (2006), 4809-4820
MSC (2000): Primary 35H10, 35B20
Posted: January 24, 2006
MathSciNet review: 2231873
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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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