Journal article

Complex vector fields and hypolleptic partial differential operators

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Author list: Porten, Egmont

Publication year: 2010

Start page: 987

End page: 1034

Number of pages: 48

ISSN: 0373-0956

URL: http://arxiv.org/abs/0807.4857

View additional information: View in Web of Science


Abstract

We prove a subelliptic estimate for systems of complex vector fields under some assumptions that generalize the essential pseudoconcavity for CR manifolds, that was first introduced by two of the authors; and the Hormanders 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.


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