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Conjuntos minimais de pontos fixos e coincidências de aplicações fibradasConjuntos minimais de pontos fixos e coincidências de aplicações fibradas
(Universidade Federal de São Carlos, 2012-10-23)
This thesis was developed in two parts. Firstly, we consider a pair of fiber-preserving maps f1, f2 : M → M in a fiber bundle with base S1 and fiber Klein bottle. Using an algebraic system of equations we found in ...
Imersões isométricas em produtos de duas formas espaciais
(Universidade Federal de São Carlos, 2012-04-27)
In this thesis we study isometric immersions into products of two space forms using the approach introduced by Lira et al in [18]. Parallel isometric immersions into products of two space forms with nonzero sectional ...
O problema de Cauchy para sistemas quase-lineares hiperbólicos é bem posto em espaços de Hölder
(Universidade Federal de São Carlos, 2012-08-10)
We consider the Cauchy problem for the quasi-linear systems
that is, the system is hyperbolic at u = 0. We show that certain Besov spaces are preserved by flow of the solution, near the null solution.
Fibrados, classes de Stiefel-Whitney e resultados de não imersão
(Universidade Federal de São Carlos, 2012-09-24)
We present an introductory study of smooth manifolds, bundles and Stiefel- Whitney classes (of real vector bundles). We explained that, given a certain smooth m-dimensional manifold, the Stiefel- Whitney classes of its ...
Estimativa de energia no infinito para equações hiperbólicas com coeficientes oscilantes
(Universidade Federal de São Carlos, 2012-08-10)
We study the behavior, as t ∞, of the energy for the solutions of the Cauchy problem for some strictly hyperbolic linear second order equations with coeficients very rapidly oscillating.
Involuções fixando muitas componentes e melhorias para o 5/2-Teorema de J. Boardman
(Universidade Federal de São Carlos, 2012-03-05)
Let (Mm; T) be a smooth involution on a closed smooth m-dimensional manifold and F = n [j=0 Fj (n < m) its fixed point set, where Fj denotes the union of those components of F having dimension j. The famous Five Halves ...
Equações elípticas singulares envolvendo o expoente crítico de Caffarelli-Kohn-Nirenberg e funções peso mudando de sinal
(Universidade Federal de São Carlos, 2012-02-15)
In this work we will study the existence of nonnegative nontrivial
weak solutions to singular elliptic equations involving the critical Caffarelli-Kohn-
Nirenberg exponent and sign-changing functions. For this purpose, ...
Analiticidade e suavidade micro-local para soluções de equações diferenciais parciais não lineares de primeira ordem
(Universidade Federal de São Carlos, 2012-04-02)
This work intends to study the analytic wave front set and theC8wave front set ofupx,0q, assu-ming that the partial differential equationsut fpx,t,u,uxqpresents a solutionu upx,tqPCk
Recobrimentos ramificados entre superfícies e dessins d'enfants
(Universidade Federal de São Carlos, 2012-03-19)
Given closed connected surfaces X and Y, integers n > 0 and d > 2, and for i = 1,..., n partitions (dy)j=i,...,mi of d. The 5-tuple (X, Y, n, d, (dij)) is called the branch datum of a candidate branched covering. Many works ...
Campos localmente resolúveis, espaços de Hardy e extensão de funções CR
(Universidade Federal de São Carlos, 2012-05-23)
Suppose that M is a smooth submanifold of CN and that L = ∪z∈CnLz is the Cauchy- Riemann structure associated to the N-dimensional complex space. For each p ∈ M we can consider the vector space Ap = CTpM ...