• Espectro absolutamente contínuo do operador Laplaciano 

      Mamani, Carlos Ronal Mamani (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 06/04/2018)
      Let $\Omega$ be a periodic waveguide in $\mathbb R^3$, we denote by $-\Delta_\Omega^D$ and $-\Delta_\Omega^N$ the Dirichlet and Neumann Laplacian operators in $\Omega$, respectively. In this work we study the absolutely ...
    • Atrator pullback para uma equação de onda semilinear amortecida 

      Moreira, Estefani Moraes (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 26/02/2018)
      In this work, we present some of the theories of semigroups and global attractors. Also, we present process of evolution and pullback attractors. Finally, we show the existence and regularity of the pullback attractor for ...
    • Uma abordagem diferente para o ensino da função exponencial no Ensino Médio 

      Angelucci, Michel (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Ensino de Ciências Exatas - PPGECE, Câmpus São Carlos, 24/01/2014)
      The objective of this essay is to propose a different approach to teaching the exponential function in high school. This new approach aims to provide a meaningful learning related to the subject exponential function, ...
    • Um estudo qualitativo do contraexemplo de Pinchuk 

      Fernandes, Filipe Balduino Pires (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 24/02/2017)
      In this work we studied the topological behaviour of the level curves of the polinomial p of Pinchuk counterexample of the Real Jacobian Conjecture, namely, a polinomial non injective map of R^2 with the form (p,q) with ...
    • Boa postura da "boa" equação de Boussinesq em espaços de Sobolev na reta e no toro 

      Lourenço, Renan de Carvalho (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 02/03/2018)
      In this work we address the problem of good posture of the nonlinear partial differential equation known as the "good" Boussinesq equation in Sobolev spaces. We will present the results of good posture in both cases, the ...
    • Resolubilidade contínua e singularidades removíveis para a equação divergente 

      Biliatto, Victor Sandrin (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 12/08/2019)
      In this text we study some results obtained by Nguyen Cong Phuc and Monica Torres in the paper "Characterizations of the Existence and Removable Singularities of Divergence-measure Vector Fields" regarding the characterisation ...
    • Divulgação científica voltada para o público infantil: uma análise a partir de programas televisivos 

      Tognon, Sara Camelucci Carrocine (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Educação - PPGE, Câmpus São Carlos, 26/08/2019)
      This research is the result of concerns about the different ways of thinking and approaching the natural sciences for children. It assumes that prior to attending school children already have contact with aspects of ...
    • 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 ...
    • 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 ...
    • Análise combinatória: uma abordagem diferenciada sem a utilização de fórmulas 

      Roda, Thiago Miguel (Universidade Federal de São Carlos, UFSCar, Programa de Mestrado Profissional em Matemática em Rede Nacional - PROFMAT, Câmpus São Carlos, 29/06/2018)
      In view of the difficulties encountered in the teaching of Combinatorial Analysis in public schools, both the student and the teacher of the High School, the present work has gained form to propose a differentiated approach. ...
    • Uma estimativa do tipo L1 para potencial de Riesz 

      Hoshijima, Raphael Shoji (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 13/08/2019)
      In this work we will present a L1-type estimates for the Riesz potentials envolving the Riesz transform. This estimate is an improvement of result due to Stein and Weiss the result of Stein and Weiss that provides Riesz ...
    • 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 ...
    • 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 ...
    • Teorema de Green e suas aplicações 

      Gonçalves, Stephanie Raira (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 25/06/2021)
      This monograph addresses as its main theme Green’s Theorem, a sophisticated result that shows an equality relation between a double integral of a region and a line integral around it. With a more didactic explanation, we ...
    • Teoremas ergódicos para sistemas multívocos e aleatórios com aplicações a semifluxos generalizados 

      Lucidio, Gabriel Silva (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 05/02/2021)
      This work focuses on four major themes: semiflows; generalized semiflows; invariant measure for set-valued maps; and random dynamical systems. The study of semiflows aims to understand the asymptotic behavior of solutions ...
    • Leis de conservação: teoria geral 

      Viana, Matheus Magaiver Barbosa (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 24/03/2022)
      In this thesis we study some aspects of the theory of Partial Differential Equations (PDE's), the theory of the existence and the uniqueness of classical solutions to the Cauchy problem u_t+f'(u)u_x=0, u(0,x)=u_0(x) in the ...
    • Singularly nonautonomous semilinear evolution equations with almost sectorial operators 

      Belluzi, Maykel Boldrin (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 21/09/2021)
      A great variety of phenomena that happens in nature relies on the theory of differential equations to be properly modeled and explained. In this work we focus on a specific class of partial differential equations named ...
    • Existência de soluções para uma classe geral de operadores do tipo p&q-Laplacianos 

      Aguiar, Christopher Silva (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 26/08/2021)
      In this work, we will study the existence of non-trivial weak solutions for two classes of elliptic and nonlinear problems, whose growth condition on these nonlinearities is subcritical and which involve general operators ...
    • 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. ...
    • Números irracionais e suas particularidades 

      Garcia, Hévila Maria Gabriel (Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 27/09/2022)
      In this work we present the main numerical sets: natural, integers, rational, irrational and real, focusing on the set of irrational numbers. We approach its historical part, the most famous examples and the proof of their ...