Recent Submissions

  • 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 ...
  • Funções Lq ultradiferenciáveis globais e aplicações 

    Rampazo, Patrícia Yukari Sato (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 20/11/2019)
    The class of global Gevrey functions was introduced recently by Z. Adwan, G. Hoepfner and A. Raich, the elements in these spaces are defined in terms of its derivatives with estimates that depend on sequences. It is know ...
  • Existência e multiplicidade de soluções para uma classe de problemas envolvendo operadores fracionários 

    Gabert, Rodrigo de Freitas (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 14/08/2019)
    In this work, we study existence and multiplicity of weak solutions for three problems involving fractional operators, with emphasis on critical growth nonlinearities. The first problem deals with the existence of sign-changing ...
  • Superfícies mínimas e a teoria min-max de Almgren--Pitts 

    Viveiros, Anderson Felipe (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 07/08/2019)
    First, we introduce the basic concept of minimal surfaces and develop some results in the general theory of minimal surfaces. In the second part, we are interested in the Simon-Smith Min-Max approach to prove the existence ...
  • $L^2$ estimates for the operators $ \bar\partial $ and $ \bar\partial_b $ 

    Coacalle, Joel Rogelio Portada (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 02/08/2019)
    The purpose of this work is to establish sufficient conditions for closed range estimates on $(0,q)$-forms, for some fixed $q$, $1 \leq q \leq n-1$, for $\bar\partial_b$ in both $L^2$ and $L^2$-Sobolev spaces in embedded, ...

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