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Atratores de trajetórias para equações de evolução abstratas e aplicação a uma equação de reação difusão
(Universidade Federal de São Carlos, 2017-03-20)
The purpose of this work is to study the asymptotic behaviour of abstract autonomous evolution
equations. The first part is dedicated to the theory of existence of global attractors for univoque
autonomous problems and ...
Ações de Zr2 fixando RPj U CPk
(Universidade Federal de São Carlos, 2017-03-07)
The classification up to equivariant cobordism of smooth involutios (M, T) having fixed set F is a classical problem in cobordism theory. This classification has been studied for several cases of F, of which we highlight ...
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 ...
Localização dinâmica para perturbações de operadores de Schrödinger discretos com campo elétrico
(Universidade Federal de São Carlos, 2018-02-02)
We study the spectrum and the dynamical localization of some discrete quantum systems
with uniform electric fields under suitable perturbations with exponential decay in
the matrix elements. We consider three particular ...
Espectro absolutamente contínuo do operador Laplaciano
(Universidade Federal de São Carlos, 2018-04-06)
Let $\Omega$ be a periodic waveguide in $\mathbb R^3$, we denote by $-\Delta_\Omega^D$ and $-\Delta_\Omega^N$ the Dirichlet and Neumann Laplacian operators in $\Omega$, respectively. In this work we study the absolutely ...
Atrator pullback para uma equação de onda semilinear amortecida
(Universidade Federal de São Carlos, 2018-02-26)
In this work, we present some of the theories of semigroups and global attractors. Also, we present process of evolution and pullback attractors. Finally, we show the existence and regularity of the pullback attractor for ...
Euclidean hypersurfaces with genuine conformal deformations in codimension two
(Universidade Federal de São Carlos, 2018-01-05)
We classify hypersurfaces f:Mn → Rn+1 with a principal curvature of multiplicity n − 2 that admit a genuine conformal deformation f':Mn → Rn+2. That a conformal deformation f':Mn → Rn+2 of f is genuine means that there ...
Ações e folheações polares em variedades de Hadamard
(Universidade Federal de São Carlos, 2014-02-27)
This work aims at presenting some recent results on the theory of polar foliations, also know as singular riemannian foliations with sections, on nonpositively curved manifolds, as seen in T oben [24]. Polar actions are ...
Teorema de holonomia normal
(Universidade Federal de São Carlos, 2013-08-30)
In this work we will introduce the concept of normal holonomy and restricted normal holonomy of a riemannian submanifold. They are subgroups of the orthogonal matrices that are realized from parallel translating normal ...
Identidades e polinômios centrais com involução para a álgebra das matrizes triangulares superiores 2x2
(Universidade Federal de São Carlos, 2018-08-16)
Let F be a field of characteristic diferent from 2. Denote by UT2(F) the 2x2 upper triangular matrix F-algebra. If * is a involution of first kind of UT2(F), denote by Id(UT2(F); * and
C(UT2(F); *) the set of its ...