Title of article
Nonexistence of global solutions for a class of complex vector fields on two-torus
Author/Authors
Dattori da Silva، نويسنده , , Paulo L.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
13
From page
543
To page
555
Abstract
The goal of this paper is study the global solvability of a class of complex vector fields of the special form L = ∂ / ∂ t + ( a + i b ) ( x ) ∂ / ∂ x , a , b ∈ C ∞ ( S 1 ; R ) , defined on two-torus T 2 ≅ R 2 / 2 π Z 2 . The kernel of transpose operator L t is described and the solvability near the characteristic set is also studied.
Keywords
Global solvability , Solvability near the characteristic set , Complex vector fields , Condition ( P ) , Propagation of singularities , Bicharacteristics , Sussmann orbits
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1559677
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