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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 ...
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. ...
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 ...
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.
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 ...
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 ...
Generalizações do truque de Kotani
(Universidade Federal de São Carlos, 2016-02-17)
We present a study of rank-one perturbations of self-adjoint and unitary operators, in particular related to the so-called Kotani’s trick. In Chapter 2 we recall relevant definitions and elementary facts. In Chapter 3 we ...
Identidades polinomiais Zn-graduadas da álgebra Mn(F)
(Universidade Federal de São Carlos, 2016-02-22)
In this works we will study G-graded algebras and G-graded polynomial identities, where G is an additive group. For main result we will describe a finite basis for Zn-graded polynomial identities of the matrix algebra of ...
Existência de atrator para problemas com operadores monótonos e dominados pelo p-Laplaciano com difusão
(Universidade Federal de São Carlos, 2016-03-31)
This work is about the upper semicontinuity of the family of global attractors associated to nonlinear reaction diffusion equations whose principal part is determined by maximal operator monotonous governed by degenerate ...
Conjunto frente de ondas em classe de funções ultradiferenciáveis de soluções de equações diferenciais parciais lineares
(Universidade Federal de São Carlos, 2016-03-04)
In this work, we introduce the wave front set WF,(u) of a classical distribution with respect to the ultradifferentiable classes of Beurling and Eomieu type. Our main goal is to present a detailed proof of the inclusion
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