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Equações diferenciais lineares sem solução
(Universidade Federal de Santa Maria, 2014-02-27)
In this work we present the proof of a result due to Lars Hörmander which establishes a necessary condition for a linear operator with variable coefficients is globally resolvable.
Resolubilidade global de operadores lineares com coeficientes constantes
(Universidade Federal de Santa Maria, 2013-07-15)
In this dissertation we present a proof of a Bernard Malgrange theorem, which
establishes a necessary and sufficient condition for the global solvability of a linear
operator with constant coefficients.
Soluções fundamentais de operadores lineares de coeficientes constantes
(Universidade Federal de Santa Maria, 2012-03-09)
In this thesis we present a proof of the Malgrange-Ehrenpreis theorem, which states that every operator with constant coefficients non identically zero has a fundamental solution.