Complex vector fields and hypoelliptic partial differential operators
Analysis of PDEs
2010-12-20 v2 Complex Variables
Differential Geometry
Abstract
We prove a subelliptic estimate for systems of complex vector fields under some assumptions that generalize the essential pseudoconcavity for 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 vector fields satisfies a subelliptic estimate. v2: minor revision, to appear in Ann. Inst. Fourier
Keywords
Cite
@article{arxiv.0807.4857,
title = {Complex vector fields and hypoelliptic partial differential operators},
author = {Andrea Altomani and C. Denson Hill and Mauro Nacinovich and Egmont Porten},
journal= {arXiv preprint arXiv:0807.4857},
year = {2010}
}
Comments
39 pages