Nonexistence of global solutions for a class of complex vector fields on two-torus

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:351

Article

Dattori da Silva, Paulo L.

关键词: Global solvability;    Solvability near the characteristic set;    Complex vector fields;    Condition (P);    Sussmann orbits;    Propagation of singularities;    Bicharacteristics;   

DOI  :  10.1016/j.jmaa.2008.10.039

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

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