• On the classification of two dimensional flows 

      Thomaz, Rodrigo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 02/08/2023)
      Lawrence Markus, a well-known mathematician, published, in 1954, a strong result about classification of planar vector fields. Afterwards, Dean Arnold Neumann generalized such work for continuous flows, and the result ...
    • On the existence of free actions of the groups Z_2, S^1 and S^3 on some finitistic spaces and cohomology of orbit spaces 

      Paiva, Thales Fernando Vilamaior (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 16/12/2021)
      Let G be a compact Lie group and X be a finitistic space. If G acts continuously on X, we can construct the fibration X \hookrightarrow X_{G} \arrow & B_{G}, (1) called Borel fibration, where G\hookrightarrow ...
    • Operadores de Calderón-Zygmund e o Teorema T(1) 

      Silva, Pedro Henrique Takemura Feitosa da (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 26/05/2021)
      The purpose of this work is to present, in a detailed way, one of the main topics of Harmonic Analysis: the singular integral operators or, in its general form, the Calderón-Zygmund operators. We did here, for the most ...
    • Operadores de Calderón-Zygmund e o teorema T1 

      Prado, Roxana Bedoya (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 14/04/2009)
      In this work, we present necessary and suficient conditions for that an operator of Calderón-Zygmund type can be extended to a bounded operator on L2. By using results of interpolation and cancellation conditions on the ...
    • Operadores de Calderón-Zygmund, pseudo-diferenciais e espaços de Hardy 

      Vasconcelos Filho, Claudio Henrique Machado (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 09/03/2018)
      The purpose of this work is to study the Hardy spaces Hp(Rn) on euclidean spaces and your localized version, known as hp(Rn). As an application of this theory, we are going to show that Calderón-Zygmund and pseudo-differential ...
    • Operadores efetivos para guia de ondas com condição de Robin no plano e espaço 

      Rossini, Alex Ferreira (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 23/05/2014)
      First we briefly discuss the spectral properties of the Robin Laplacian in a straight and infinitely long planar strip with Robin coupling parameter changing signs. Assuming that such parameter is a constant outside a ...
    • Operadores lineares em espaços de Hardy 

      Francheto, Victor Hugo Falcão (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 13/03/2015)
      The present work aims to present an example of linear a functional defined on a dense subspace of the Hardy space H1(Rn) to be built, with the intention of showing that despite the fact that this functional is uniformly ...
    • Operadores pseudo-diferenciais e espaços de Hardy. 

      Kapp, Rafael Augusto dos Santos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 20/05/2005)
      Obs.:Devido a restrições dos caracteres especias, verifcar abstract em texto completo para download.
    • Ordinary and twisted K-theory 

      Clemente, Gabriel Longatto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 28/03/2022)
      The main topic of this thesis consists in Ordinary and Twisted Topological K-Theory. We begin by describing generalized cohomology theories through the Eilenberg-Steenrod Axioms, in order to set Ordinary K-Theory in these ...
    • The period function for some planar piecewise vector fields 

      Santos, Mirianne Andressa Silva (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 27/04/2023)
      In this work, we study the period function for fixed families of piecewise differential vector fields with a line of discontinuities. These systems, indistinctly called piecewise or nonsmooth, appear in several applications, ...
    • Perturbações unitárias multiplicativas 

      Díaz, Pablo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 24/05/2023)
      For the self-adjoint operator H, the perturbation H+A, with A also a self-adjoint operator, there is a long list of results regarding the spectrum of this perturbation. We study the spectrum of a multiplicative perturbation ...
    • PI-equivalência em álgebras graduadas simples 

      Naves, Fernando Augusto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 29/02/2016)
      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 ...
    • Poliedro de Newton e o número de Milnor 

      Spohr, Cristina (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 24/02/2006)
      In this work, we study the relation between Milnor's number and the Newton's number of a formal series. The former is always greater than or equal to the latter and equality occurs whan the formal series f has non-degenerate ...
    • Polynomial Weingarten surfaces of tubular type 

      Silva, Fernando Gasparotto da (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 04/04/2022)
      This work seeks to contribute to the classification of Weingarten surfaces. More precisely, it fully classifies three families of surfaces (named tubular, cyclic and canal surfaces) in a tridimensional space form (Euclidean, ...
    • Pontos fixos e os contra-exemplos de Jiang 

      Souza, Taciana Oliveira (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 27/02/2009)
      The aim of this work is construct the example, presented by Boju Jiang, of a self - map on a manifold with non - realizable Nielsen number. Firstly we will need to present the fixed point theory and some results about ...
    • Positively curved Killing foliations via deformations 

      Caramello Junior, Francisco Carlos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 22/03/2018)
      We show that a manifold admitting a Killing foliation with positive transverse curvature and maximal defect fibers over finite quotients of spheres or weighted complex projective spaces. This result is obtained by deforming ...
    • Preservação de mínimos locais de famílias de funcionais via gama-convergência e aplicações 

      Pereira, Jamil Viana (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 14/10/2009)
    • Um princípio de tangência e aplicações 

      Tarazona, Raúl Armando Gómez (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 17/12/2021)
      We present tools, such as a maximum principle for elliptic functions and properties of a-hyperbolic polynomials, to study a tangency principle between two hypersurfaces with r-mean curvatures of a Riemannian manifold, which ...
    • O princípio do máximo de Omori-Yau e generalizações 

      Franco, Felipe de Aguilar (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 31/01/2014)
      In this work we seek to establish a first contact with Geometric Analysis, aiming the understanding of the Good Shadow Principle of Fontenele and Xavier ([FX11]), which is a generalization of the Omori-Yau Principle. We ...
    • O problema de Cauchy para a equação da onda cúbica 

      Farias, Marcos Alves de (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 27/05/2011)
      In this work, we study the result of global well-Posedness for the cubic wave equation @2 t u&#56256;&#56320;_u+u3 = 0 in R_R3, where the Cauchy data is in the Sobolev space Hs(R3)_ Hs&#56256;&#56320;1(R3) with 13 18 < s ...