Browsing Matemática - PPGM by Title
Now showing items 173-192 of 274
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A mean-field game model of economic growth : an essay in regularity theory
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 20/12/2016)In this thesis, we present a priori estimates for solutions of a mean-field game (MFG) defined over a bounded domain Ω ⊂ ℝd. We propose an application of these results to a model of capital and wealth accumulation. In ... -
Merge trees decoradas e TDA
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 10/08/2023)In this document, first we will introduce Persistance Homology and Category Theory basic concepts. Afterwards, we will develop the Merge Tree Theory which will be useful to keep track of connected components evolution of ... -
Micro-regularidade Gevrey de soluções de sistemas involutivos de edp's não lineares de primeira ordem
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 05/03/2010)Let u be a C2 solution for a Gevrey involutive system of _rst order nonlinear partial di_erential equations. In this work, we show that the Gevrey wave front set of order s of u is contained in the characteristic set of ... -
Mínimos locais de funcionais com dependência especial via Γ-convergência: com e sem vínculo
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 30/05/2011)We address the question of existence of stationary stable solutions to a class of reaction-diffusion equations with spatial dependence in 2 and 3-dimensional bounded domains. The approach consists of proving the existence ... -
Movimento de interface para duas equações de reação-difusão
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 26/02/2007)In this work, following [15], we will use the technique of matched asymptotic expansions to study the movement of interface for the solutions of an advection-reaction- difuusion equations and the equation of reaction-difusion ... -
Multiplicação de distribuições no estudo de soluções de ondas delta choque
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 15/12/2023)In this work, we will find the delta shock wave solution for three Riemann problem where two are hyperbolic systems of conservation laws with linear damping and a three-component nonlinear chromatography model. We will ... -
Múltiplas soluções em certas classes de problemas elípticos não homogêneos e não locais
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 29/03/2018)This work concerns multiplicity of solutions to some nonhomogeneous and nonlocal elliptic problems. The nonlocal term on the operator is of Kirchhoff type and it may be degenerated or not, continuous or discontinouos at ... -
Não unicidade para uma classe de operadores do tipo parabólico
(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
(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
(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)
(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
(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
(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
(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
(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
(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)
(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
(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
(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
(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 ...