Gevrey global solvability of non-singular real first-order differential operators |
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| Authors: | Paulo L Dattori da Silva Maurício Fronza da Silva |
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| Institution: | 1. Instituto de Ciências Matemáticas e de Computa??o, Departamento de Matemática, Universidade de S?o Paulo, Caixa Postal 668, Avenida do Trabalhador S?o-Carlense-400, S?o Carlos, SP, CEP 13560-970, Brazil
2. Centro de Ciências Naturais e Exatas, Departamento de Matemática, Universidade Federal de Santa Maria, Faixa de Camobi-Prédio 13-Campus UFSM, Santa Maria, RS, CEP 97105-900, Brazil
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| Abstract: | In this article we deal with Gevrey global solvability of non-singular first-order operators defined on an n-dimensional s-Gevrey manifold, s > 1. As done by Duistermaat and Hörmander in the C ∞ framework, we show that Gevrey global solvability is equivalent the existence of a global cross section. |
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