• Não unicidade para uma classe de operadores do tipo parabólico 

      Rosas, Marco Antonio Moya (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 18/01/2022)
      In this thesis we consider the non-uniqueness for a class of parabolic operators. We will prove that for certain real analytic perturbation of the Heat Operator there is a non unique solution for the Initial Value Problem.
    • Non-autonomous Klein-Gordon-Zakharov system: pullback dynamics in the continuous and impulsive approaches 

      Santiago, Eric Busatto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 22/12/2020)
      This work is dedicated to study a non-autonomous formulation of the Klein-Gordon-Zakharov system, which is a coupled system consisting of two non-autonomous evolution equations, where each one is of second order in time. ...
    • Uma nota sobre o teorema de Borsuk-Ulam 

      Ribeiro Júnior, José Roberto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 25/02/2011)
      The main objective of this work is to prove that the map B defined on F and taking values in B, where F is the set of all continuous functions from Sn to Rn and B is the set of all nonempty closed subsets of Sn, invariant ...
    • Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n) 

      Elias, Thaysa Fernanda (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 06/04/2018)
      In this work we will present a new characterization of the Sobolev space W^{1,1}(\R^n) and also we give another proof of the characterization of the Sobolev space W^{1,p}(\R^n), 1<p<\infty, in terms of Poincaré inequalities. ...
    • O número de Bruce-Roberts sobre uma ICIS 

      Lima-Pereira, Bárbara Karolline (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 19/01/2022)
      In this work we study the relations between the Bruce-Roberts number, $\mu_{BR}(f,X)$, the relative Bruce-Roberts, $\mu_{BR}^{-}(f,X)$, of a function germ $f\in\mathcal{O}_{n}$ over an ICIS, $(X,0)\subset (\C^{n},0)$, and ...
    • O número de Milnor de uma singularidade isolada 

      Oréfice, Bruna (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 24/11/2011)
      Given (X; 0) C (CN; 0) a weighted homogeneous germ of hypersurface with isolated singularity and f : (CN; 0) - C a germ of function finitely determined with respect to X, we show that UBR(f;X) = U(f) + U(X; f), where U(f) ...
    • Número de Nielsen-Borsuk-Ulam para aplicações entre toros 

      Melo, Givanildo Donizeti de (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 25/03/2021)
      The Nielsen-Borsuk-Ulam number is a lower bound for the minimal number of pair of coincidences points such that f(x) = f(\tau(x)) in a given homotopy class of maps. In this text the Nielsen-Borsuk-Ulam number, NBU(f; \tau), ...
    • 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 ...