Now showing items 1-20 of 215

    • Identidades e polinômios centrais com involução para a álgebra de Grassmann e álgebra das matrizes triangulares de ordem 3 

      Silva, Dalton Couto (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 30/11/2020)
      Let F be an infinite field of characteristic different from 2. In this thesis we will study the polynomial identities and central polynomials with involution for two important classes of algebras. More precisely, we describe ...
    • Três resultados de sistemas dinâmicos em dimensões baixas 

      Fernandes, Filipe Balduino Pires (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 18/12/2020)
      This work contains three independent results that can be framed within the research area named low-dimensional dynamics. The first result is a lower bound for the maximal number of inseparable leaves of non-singular ...
    • Boa postura para alguns sistemas de equações dispersivas e para uma equação dispersiva 

      Pes, Ronaldo Bressan (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 30/10/2020)
      The main aim of this work is to establish the well posedness for a dispersive partial differential equations systems and for a partial differential equation, with initial data belonging to Gevrey space. The proof ...
    • Graduações e identidades polinomiais graduadas para a álgebra de matrizes triangulares superiores 

      Ferreira, Lorrayne Cristina Silva (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 03/12/2020)
      Let F be a field and let G be a group. Denote by UTn(F) the algebra of n × n upper triangular matrices over F. The mathematicians Valenti and Zaicev described all G-gradings on UTn(F), and the mathematicians Di Vincenzo, ...
    • Symmetric and non-symmetric Jack Functions 

      Hindi, Felipe de Mattos Chafik (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 29/05/2020)
      The goal of this dissertation is to present the theory of Jack functions from the standpoint of algebraic combinatorics. The presentation of symmetric functions is largely centred on the first chapter of MacDonald's ...
    • Espectro do Laplaciano de Dirichlet-Neumann em faixas estreitas 

      Bello, Diana Carolina Suarez (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 11/08/2020)
      Let $\Omega_\varepsilon$ be a thin strip in $\mathbb{R}^2$ and $-\Delta_{DN}^{\Omega_\varepsilon}$ the Dirichlet-Neumann Laplacian in $\Omega_\varepsilon$. In this work, we study the spectral problem of $-\Delta_{DN}^{\O ...
    • Fluxo de curvatura média e self-shrinkers 

      Vitti, Mannaim Gennaro (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 12/06/2020)
      Mean curvature flow is a geometric flow that rises when evolving a hipersurface in the direction of its normal vector field with velocity at each point equal to the mean curvature at the very same point. As it is an evolution ...
    • Aplicações singulares via grupos de reflexões 

      Zampiva, José Rafael Borges (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 24/04/2020)
      Our objective with this essay is to describe a way to build germs of applications A-finite f:(\C^{n},0) \rightarrow (\C^{p},0) for p=2n and p=2n-1. In the case p<2n-1, we conclude that there is no germ of reflection ...
    • Extensões auto-adjuntas do operador de Schrödinger magnético em domínios com pouca regularidade 

      Monteiro, Wagner (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 20/02/2020)
      We find one parametrization of all self-adjoint extensions of the magnetic Schrödinger operator, in a quasi-convex domain with compact boundary, and magnetic potentials with low regularity. In this parametrization we use ...
    • Teoria dos operadores integrais singulares 

      Dalcy, Muriel Andreane (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 28/04/2020)
      We present in this work some of the main results regarding the continuity in Lp and the definition almost everywhere of operators known as Singular Integrals, as well as some classic examples and applications. We have ...
    • Dinâmica topológica do operador deslocamento com pesos 

      Soares, Neilson Castro (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 20/04/2020)
      In the present work, we will do a study of linear dynamics of operators, focusing mainly on the concepts of topological transitivity, hypercyclicity and chaoticity. At rst, we will deal with non-linear dynamical systems ...
    • Invariantes de singularidades em característica positiva 

      Ordoño Vilca, Devis (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 30/03/2020)
      This dissertation mainly follows the works of \cite{Gr2} and \cite{Gr5}. Considering $\mathbb{K}$ a field, algebraically closed with positive characteristic, we presented invariants of singularities in $\mathbb{K}[[\u ...
    • Equisingularidades de funções definidas em ICIS e IDS 

      Carvalho, Rafaela Soares de (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 10/03/2020)
      We study the equisingularity of a family of function germs $\{f_t\colon(X_t,0)\to (\mathbb{C},0)\}$, where $\{(X_t,0)\}$ is a family of $d$-dimensional isolated determinantal singularity. We define the $(d-1)$th polar ...
    • Atratores pullback para uma equação de difusão não autônoma com retardo 

      Furtado, Izabella Durante Temporini (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 12/03/2020)
      Our goal in this work is to study a nonautonomous parabolic differential equation. We are going to show some results about existence of pullback attractors for this type of problem and for the equation without the delay.
    • Pseudo-parallel immersions in SnxR and HnxR, and constant anisotropic mean curvature surfaces in R3 

      Tassi, Marcos Paulo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 20/12/2019)
      In this Ph.D. thesis, we investigate two topics in Differential Geometry. The first topic refers to the study of pseudo-parallel submanifolds in the ambient spaces SnxR and HnxR. We complete the partial classification given ...
    • Grafeno multicamadas através de grafos quânticos periódicos: cones de Dirac 

      Rocha, Vinícius Lourenço da (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 06/03/2020)
      We study the spectral characterization and Dirac cones, always through periodic quantum graphs, in three situations. Firstly, we model bidimensional honeycomb materials, for instance, Graphene and Boron Nitride. We consider ...
    • Espaços de Hardy radial 

      Francheto, Victor Hugo Falcão (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 06/02/2020)
      One presents in this work an atomic decomposition via radial atoms for distributions on subspace $\mathcal{H}^{p}_{rad}(\mathds{R}^{n})$ for $0 < p\leqslant 1$, of Hardy radial spaces $H_{rad}^{p}(\mathds{R}^{n}) \doteq ...
    • Sobre a metrizabilidade do espaço de R-lugares de um corpo de funções F com trdeg_R=1 

      Pereira, Melissa Natasha (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 28/02/2020)
      The main purpose of this work is to study the metrizability of the space of R-places of a function field, with transcendence degree 1 over a real closed field. Specifically, we are going to present a necessary and sufficient ...
    • Existence and multiplicity of solutions for a class of elliptic equations involving nonlocal integrodifferential operator with variable exponent 

      Bonaldo, Lauren Maria Mezzomo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 16/03/2020)
      In this work, we are interested in the existence and multiplicity of nontrivial solutions for a class of elliptic problems. The first problem deals with the existence of nontrivial weak solutions to a class of elliptic ...
    • Applications of topological degree theory to generalized ODEs 

      Macena, Maria Carolina Stefani Mesquita (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 27/10/2019)
      In this work, we present original results concerning the theory of Generalized Ordinary Differential Equations (we write generalized ODEs for short) using tools from the Topological Degree theory. In particular, we proved ...