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Nonexistence of global solutions for a class of complex vector fields on two-torus |
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| Authors: | Paulo L Dattori da Silva |
| Institution: | Universidade de São Paulo, Faculdade de Filosofia Ciências e Letras de Ribeirão Preto, Departamento de Física e Matemática, Avenida dos Bandeirantes, 3900 - CEP 14040-901, Ribeirão Preto, SP, Brazil |
| 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+ib)(x)∂/∂x, a,b∈C∞(S1;R), defined on two-torus T2≅R2/2πZ2. The kernel of transpose operator  is described and the solvability near the characteristic set is also studied. |
| Keywords: | Global solvability Solvability near the characteristic set Complex vector fields Condition (_method=retrieve& _eid=1-s2 0-S0022247X0801055X& _mathId=si5 gif& _pii=S0022247X0801055X& _issn=0022247X& _acct=C000054348& _version=1& _userid=3837164& md5=5bdb01c8aa9ea8b47540e1c150c29d7a')" style="cursor:pointer P)" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">P) Sussmann orbits Propagation of singularities Bicharacteristics |
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