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On the local solvability of vector fields with critical points

Part of: General first-order equations and systems

Published online by Cambridge University Press:  12 May 2011

François Treves
François Treves
Affiliation:
Department of Mathematics, Rutgers University—Hill Center for the Mathematical Sciences, 110 Frelinghuysen Road, Piscataway, NJ 08854, USA (treves.jeanfrancois@gmail.com)
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Abstract

The article discusses the local solvability (or lack thereof) of various classes of smooth, complex vector fields that vanish on some non-empty subset of the base manifold.

Keywords

vector fieldslocal solvabilityhypoellipticity

MSC classification

Secondary: 35F20: Nonlinear first-order equations
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 10 , Special Issue 3: A Special Issue in Honour of Louis Boutet de Monvel and Pierre Schapira , July 2011 , pp. 785 - 808
Copyright
Copyright © Cambridge University Press 2011

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