Complex vector fields and hypoelliptic partial differential operators

Autor:	Altomani, Andrea, Hill, C. Denson, Nacinovich, Mauro, Porten, Egmont
Rok vydání:	2008
Předmět:	Mathematics - Analysis of PDEs Mathematics - Complex Variables Mathematics - Differential Geometry 35H20 (Primary) 35H10 32V20 (Secondary)
Zdroj:	Ann. Inst. Fourier (Grenoble) 60 (2010), no. 3, 987-1034
Druh dokumentu:	Working Paper
Popis:	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 Comment: 39 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0807.4857 Zobrazit plný text záznamu View this record from Arxiv