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Master's Dissertation
DOI
10.11606/D.55.2014.tde-24042014-105800
Document
Author
Full name
Érik Fernando de Amorim
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2014
Supervisor
Committee
Bergamasco, Adalberto Panobianco (President)
Hoepfner, Gustavo
Hounie, Jorge Guillermo
Title in Portuguese
Regularidade analítica para estruturas de coposto um
Keywords in Portuguese
Equações diferenciais parciais lineares
Hipoeliticidade analítica
Sistemas involutivos
Abstract in Portuguese
Neste trabalho consideramos sistemas de equações diferenciais parciais lineares de primeira ordem, com coeficientes analíticos, definidos em variedades analíticas reais, no caso particular em que seu coposto é igual a um. Demonstramos que esse tipo de sistema admite integrais primeiras locais, e buscamos caracterizar sua hipoelipticidade analítica local e global em termos de propriedades topológicas das mesmas. Também provamos a Fórmula de Aproximação de Baouendi-Trèves
Title in English
Analytic regularity for structures of corank one
Keywords in English
Analytic hipoellipticity
Involutive
Linear partial differential equations
Abstract in English
In this work we consider systems of first-order linear partial differential equations, with analytic coefficients, defined on real-analytic manifolds, in the special case in which the corank is equal to one. We prove that this type of systems admits local first integrals, and we seek to characterize their local and global analytic hypoellipticity in terms of topological properties of these first integrals. We also prove the Baouendi-Trèves Approximation Formula
 
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Publishing Date
2014-04-24
 
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