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Klein-Gordon models with non-effective time-dependent potential
(Universidade Federal de São Carlos, 2016-02-19)
In this thesis we study the asymptotic properties for the solution of the Cauchy
problem for the Klein-Gordon equation with non-effective time-dependent potential.
The main goal was define a suitable energy related to ...
A transformação vetorial de Ribaucour para subvariedades de curvatura constante
(Universidade Federal de São Carlos, 2015-06-09)
In this work we obtain a reduction of the vectorial Ribaucour transformation
that preserves the class of submanifolds with constant sectional curvature of space forms.
As a consequence, a process is derived to generate ...
Campos localmente resolúveis, espaços de Hardy e extensão de funções CR
(Universidade Federal de São Carlos, 2012-05-23)
Suppose that M is a smooth submanifold of CN and that L = ∪z∈CnLz is the Cauchy- Riemann structure associated to the N-dimensional complex space. For each p ∈ M we can consider the vector space Ap = CTpM ...
Problemas elípticos superlineares com não linearidades assimétricas
(Universidade Federal de São Carlos, 2015-03-06)
The aim of this work is to present results of existence of solutions for a class of nonlinear asymmetryc elliptic problems. The asymmetry that we consider here has linear behavior on - infnity and superlinear on + infnity. ...
Existência e semicontinuidade de atratores global, pullback e de trajetórias
(Universidade Federal de São Carlos, 2016-07-27)
The mainly purpose of this paper is to study the asymptotic behaviour of abstract evolution equations.
The first part of this work is dedicated to the attraction theory for univoque autonomous and nonautonomous
problems ...
Confirmação matemática do efeito Aharonov-Bohm no modelo sem interação com a fronteira do solenóide
(Universidade Federal de São Carlos, 2016-05-30)
We study the Aharonov-Bohm effect model by adding a scalar potential in the initial Hamiltonian. Using known techniques of quantum confinement, we show that under certain conditions of divergence on this potential, the ...
Estudo de nova fórmula de caracteres para representações de Álgebra de Lie semissimples
(Universidade Federal de São Carlos, 2015-08-28)
The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...
O produto tensorial não abeliano de grupos e aplicações
(Universidade Federal de São Carlos, 2015-04-22)
The nonabelian tensor square GG of a group G was introduced by R. K.
Dennis [8] in a search for new homology functors having a close relationship to
K-theory and it is based on the work of C. Miller [14]. Subsequently ...
Classificação das hipersuperfícies lorentzianas de R1n para Rn1+1
(Universidade Federal de São Carlos, 2015-12-16)
In this dissertation we present a result of classi cation of isometric hypersurfaces between Lorentz-Minkowski spaces due to L. K. Graves [5], which generalizes a classic theorem of Hartman and Nirenberg [7], where ...
Uma introdução às identidades funcionais sobre a álgebra de matrizes triangulares superiores
(Universidade Federal de São Carlos, 2016-02-23)
The subject treated in this dissertation is functional identities (FI) of a especific ring. We present concepts, examples and some results involving the themes: standard solution of a FI, strong degree of a ring, strongly ...