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arXiv · 0807.4857

Complex vector fields and hypoelliptic partial differential operators

Andrea Altomani·C. Denson Hill·Mauro Nacinovich·Egmont Porten
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Abstract

We prove a subelliptic estimate for systems of complex vector fields under some assumptions that generalize the essential pseudoconcavity for $CR$ manifolds and H\"ormander's bracket condition for real vector fields. Applications are given to prove the hypoellipticity of first order systems and second order partial differential operators. Finally we describe a class of compact homogeneous CR manifolds for which the distribution of $(0,1)$ vector fields satisfies a subelliptic estimate. v2: minor revision, to appear in Ann. Inst. Fourier

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Andrea Altomani, C. Denson Hill, Mauro Nacinovich, Egmont Porten. 2008-07-30. Complex vector fields and hypoelliptic partial differential operators. https://arxiv.org/abs/0807.4857

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