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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 ...
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 ...
Subordinação fractal para operadores de Schrödinger unidimensionais
(Universidade Federal de São Carlos, 2016-02-16)
We study fractal subordinacy theory for one-dimensional Schrödinger operators. First,
we review results on Hausdorff subordinacy for discrete one-dimensional Schrödinger operators in order to analyze the differences and ...
Problemas elípticos não lineares envolvendo equações do tipo Kirchhoff
(Universidade Federal de São Carlos, 2016-03-21)
In this work we study the existence of weak solutions for four nonlinear elliptic problems of Kirchhoff type. These problems have in common the presence of a function M : R+ [ f0g ! R+; known as Kirchhoff-type function. ...
Versões do teorema de Tverberg e aplicações
(Universidade Federal de São Carlos, 2016-02-25)
In this work, we will use topological methods in combinatorics and geometry to
present a proof of the topological Tverberg theorem and a result about many Tverberg
partitions.
PI-equivalência em álgebras graduadas simples
(Universidade Federal de São Carlos, 2016-02-29)
This work aims to give a description, under certain hypothesis, of the graded simple algebras and prove that they are determined by their graded identities. For this, we study the papers [3] and [19]. More precisely we ...
Resolubilidade local para duas classes de campos de vetores suaves complexos
(Universidade Federal de São Carlos, 2016-07-28)
This work study complex linear partial differential operators of order one without
having terms of zero order (complex vector fields). We have established a necessary and
suficient condition for local solvability of a ...
Folheações riemannianas e geodésicas fechadas em orbifolds
(Universidade Federal de São Carlos, 2016-03-04)
The present thesis is devoted to the study of closed geodesics in some types of orbifolds. First, we present the notion of Riemannian foliation and their equivalent definitions using foliation atlas and Riemannian submersions. ...
O problema pseudoviscoso e a equação de BBM-Burgers estocásticos
(Universidade Federal de São Carlos, 2016-09-30)
This work is divided in two parts: In the first part, we study the convergence of a sequence
of approximating solutions to a solution of the stochastic conservation law, in the additive and
multiplicative case. In the ...
A mean-field game model of economic growth : an essay in regularity theory
(Universidade Federal de São Carlos, 2016-12-20)
In this thesis, we present a priori estimates for solutions of a mean-field game (MFG) defined
over a bounded domain Ω ⊂ ℝd. We propose an application of these results to a model of capital
and wealth accumulation.
In ...