Solvability of Planar Complex Vector Fields with Applications to Deformation of Surfaces

2010 ◽  
pp. 263-278
Author(s):  
Abdelhamid Meziani
Keyword(s):  
Vector Fields ◽  
Complex Vector ◽  
Planar Complex

Global hypoellipticity of planar complex vector fields

2019 ◽  
Vol 267 (9) ◽  
pp. 5220-5257
Author(s):  
Adalberto P. Bergamasco ◽  
Renato A. Laguna ◽  
Sérgio L. Zani
Keyword(s):  
Vector Fields ◽  
Complex Vector ◽  
Planar Complex ◽  
Global Hypoellipticity

scholarly journals Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type

2009 ◽  
Vol 246 (4) ◽  
pp. 1673-1702 ◽  
Author(s):  
Adalberto P. Bergamasco ◽  
Paulo L. Dattori da Silva ◽  
Marcelo R. Ebert
Keyword(s):  
Vector Fields ◽  
Characteristic Set ◽  
Complex Vector ◽  
Infinite Type ◽  
Planar Complex

Gevrey semiglobal solvability for a class of complex vector fields

2021 ◽  
pp. 1-11
Author(s):  
Paulo L. Dattori da Silva ◽  
Miguel A. C. Zapata
Keyword(s):  
Vector Fields ◽  
Complex Vector

scholarly journals Strong unique continuation for systems of complex vector fields

2014 ◽  
Vol 138 (4) ◽  
pp. 457-469 ◽  
Author(s):  
R.F. Barostichi ◽  
P.D. Cordaro ◽  
G. Petronilho
Keyword(s):  
Vector Fields ◽  
Unique Continuation ◽  
Complex Vector

On the local solvability of vector fields with critical points

2011 ◽  
Vol 10 (3) ◽  
pp. 785-808
Author(s):  
François Treves
Keyword(s):  
Critical Points ◽  
Vector Fields ◽  
Local Solvability ◽  
Complex Vector ◽  
Base Manifold ◽  
Smooth Complex ◽  
Empty Subset

AbstractThe 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.

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