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Índice de Yang e teoremas generalizados
(Universidade Federal de São Carlos, 2011-07-26)
We work with T-spaces (X; T), where X is a Hausdor_ compact space and T : X ! X is a continuous involution without _xed points. Considering the sphere Sn with the antipodal map, we highlight three classical theorems relating ...
Hipoeliticidade global e vetores simultaneamente aproximáveis.
(Universidade Federal de São Carlos, 2003-08-11)
A necessary and sufficient condition is given for a sum of squares operator to be globally hypoelliptic. This condition is expressed in terms of Diophatine approximation properties of the coefficients. The proof of the ...
Grafos eulerianos e identidades polinomiais na álgebra Mn(K)
(Universidade Federal de São Carlos, 2013-08-27)
In this work we present some applications of graph theory in problems involving polynomial identities for the algebra Mn (K). A brief presentation of PI-theory and some concepts of graph theory, such as the definition of ...
Propriedades assintóticas de uma equação de reação e difusão com p-Laplaciano degenerado
(Universidade Federal de São Carlos, 2006-02-23)
In this work we characterize the stationary solution set of a quasi-linear parabolic GOVERNADO for p-Laplacian, p > 2, and we stability properties of EQUILÍBRIOS. Furthermore, we do a comparision between this problem and ...
Existência global de soluções para uma classe de leis de conservação e algumas considerações sobre um sistema de leis de conservação
(Universidade Federal de São Carlos, 2006-03-09)
In this work, we will construct global solutions for a conservation law, due to C. M. Dafermos. Also we will discuss some properties for a class of systems of conservation laws, due to B. Rubino.
Generalização da sequência curta de Fadell-Neuwirth para os grupos de tranças de superfícies
(Universidade Federal de São Carlos, 2014-02-17)
The objective of this work is to study the braid groups on topological surfaces as well as studying a generalization of the Fadell-Neuwirth short exact sequence. We treated also the existence of a cross-section for the ...
Graduações de grupo na álgebra das matrizes triangulares superiores
(Universidade Federal de São Carlos, 2009-08-11)
In this work we study group gradings on the upper triangular matrices algebra UTn(F), which have several applications in the PI-algebra theory. Our main purpose is to exhibit a description of all _nite gradings of UTn(F) ...
O problema de Cauchy para a equação da onda cúbica
(Universidade Federal de São Carlos, 2011-05-27)
In this work, we study the result of global well-Posedness for the cubic wave equation @2 t u��_u+u3 = 0 in R_R3, where the Cauchy data is in the Sobolev space Hs(R3)_ Hs��1(R3) with 13 18 < s ...
Um homomorfismo índice associado à ações livres de Zp.
(Universidade Federal de São Carlos, 2003-06-23)
The objective of this work is to detail and to analyze consequences of a recent paper of P. Pergher, which deals with the construction of an indexhomomorphism associated to spaces equipped with free actions of the cyclic ...
Produtos em homologia e cohomologia na categoria dos complexos simpliciais.
(Universidade Federal de São Carlos, 2004-03-31)
In this work we present fundamental theory to establish the coordinates of the Kronecker Index, Cup and Cap Products in the finite Simplicial Complexes category in terms of chain and cochain.