Nonexistence of global solutions for a class of complex vector fields on two-torus
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2009
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| Resumo |
The goal of this paper is study the global solvability of a class of complex vector fields of the special form L = partial derivative/partial derivative t + (a + ib)(x)partial derivative/partial derivative x, a, b epsilon C(infinity) (S(1) ; R), defined on two-torus T(2) congruent to R(2)/2 pi Z(2). The kernel of transpose operator L is described and the solvability near the characteristic set is also studied. (c) 2008 Elsevier Inc. All rights reserved. FAPESR Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) |
| Identificador |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.351, n.2, p.543-555, 2009 0022-247X http://producao.usp.br/handle/BDPI/28853 10.1016/j.jmaa.2008.10.039 |
| Idioma(s) |
eng |
| Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Relação |
Journal of Mathematical Analysis and Applications |
| Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Palavras-Chave | #Global solvability #Solvability near the characteristic set #Complex vector fields #Condition (P) #Sussmann orbits #Propagation of singularities #Bicharacteristics #INFINITE TYPE #SOLVABILITY #TORUS #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
