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Hipoelipticidade global para sublaplacianos, perturbações de ordem inferior, resolubilidade e hipoelipticidade global para uma classe de campos vetoriais
(Universidade Federal de São Carlos, 2018-03-16)
We start this work by recalling a class of globally hypoelliptic sublaplacians defined on the N-dimensional torus introduced by Cordaro and Himonas in 1994 and studied by Himonas and Petronilho in 2000. We consider a new ...
Boa postura da "boa" equação de Boussinesq em espaços de Sobolev na reta e no toro
(Universidade Federal de São Carlos, 2018-03-02)
In this work we address the problem of good posture of the nonlinear partial differential equation known as the "good" Boussinesq equation in Sobolev spaces. We will present the results of good posture in both cases, the ...