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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 ...
Classificação das hipersuperfícies paralelas e semi-paralelas em S^nxR
(Universidade Federal de São Carlos, 2015-03-30)
The aim of this Masters dissertation is to show a classication of parallel and semi-parallel hypersurfaces of Sn _ R, based on the work of Joeri Van der Veken and Luc Vrancken, in [12].
The classification that we will ...
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 ...
Múltiplas soluções em certas classes de problemas elípticos não homogêneos e não locais
(Universidade Federal de São Carlos, 2018-03-29)
This work concerns multiplicity of solutions to some nonhomogeneous and nonlocal elliptic problems. The nonlocal term on the operator is of Kirchhoff type and it may be degenerated or not, continuous or discontinouos at ...
O Grau de Coincidência e aplicação às equações diferenciais ordinárias periódicas
(Universidade Federal de São Carlos, 2019-04-15)
In this work, we will present the coincident degree theory for Fredholm operators of index zero - denoted by L and defined on Banach spaces -, which is an important tool to obtain the existence of solutions for equations ...
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 ...
Hipoelipticidade, resolubilidade e formas normais para campos vetoriais no toro
(Universidade Federal de São Carlos, 2015-04-24)
The main aim of this work is to study a class of real vector elds de ned on a torus, where the concepts of global hypoellipticity, global C1 solvability and reduction to its normal form are equivalents. We also study a ...
Determinante regularizado do Laplaciano e conjuntos isoespectrais em superfícies
(Universidade Federal de São Carlos, 2019-02-27)
On compact surfaces with boundary, with some conditions in a conformal class, we study the problem about to find a metric with constant Gaussian curvature with boundary of constant geodesic curvature for which the regularized ...