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Espectro do operador Laplaciano de Dirichlet em tubos deformados
(Universidade Federal de São Carlos, 2014-03-21)
Let Ω be a deformed tube in R3 and −∆Ω
D the Dirichlet Laplacian operator
in Ω. In this work, we are going to study the spectrum σ(−∆Ω
D) of the operator
−∆Ω
D. More precisely, we are going to analize how the geometrical ...
Espaços de Hardy e compacidade compensada
(Universidade Federal de São Carlos, 2014-03-13)
This work is divided into two parts. In the first part, our goal is to present the theory of Hardy Spaces Hp(Rn), which coincides with the Lebesgue space Lp(Rn) for p > 1, is strictly contained in Lp(Rn) if p = 1, and is ...
Tópicos sobre funções de várias variáveis complexas
(Universidade Federal de São Carlos, 2015-03-27)
This work shows classical results of analysis of holomorphic functions of both one and several complex variables. Are treated as main topics results on integral representations of holomorphic functions, approximation by ...
Recobrimentos ramificados entre superfícies e 2-orbifolds geométricos
(Universidade Federal de São Carlos, 2014-10-22)
The purpose of this work is to study the realizability problem of branched coverings between closed, connected and orientable surfaces. For each covering, there exists a set of naturally associated data called branch datum ...
Operadores lineares em espaços de Hardy
(Universidade Federal de São Carlos, 2015-03-13)
The present work aims to present an example of linear a functional defined on a dense subspace of the Hardy space H1(Rn) to be built, with the intention of showing that despite the fact that this functional is uniformly ...
Representações dos grupos simétrico e alternante e aplicações às identidades polinomiais
(Universidade Federal de São Carlos, 2014-11-28)
In this dissertation we ll present a discussion about the Representations of the Symmetric Group Sn and Alternating Group An. We ll study basics results of the Young s Theory about the representations of the Symmetric Group ...
O princípio do máximo de Omori-Yau e generalizações
(Universidade Federal de São Carlos, 2014-01-31)
In this work we seek to establish a first contact with Geometric Analysis, aiming the understanding of the Good Shadow Principle of Fontenele and Xavier ([FX11]), which is a generalization of the Omori-Yau Principle. We ...
Exemplos de T-espaços e T-ideais infinitamente gerados
(Universidade Federal de São Carlos, 2014-08-14)
Let F be a field of characteristic p ≥ 3. Denote by F0(X) and F1(X) the free associative algebras without and with unity, respectively, freely generated by the infinite set X. In this dissertation we study T-spaces ...
Taxa de atração para equações de reação-difusão com difusão grande localizada
(Universidade Federal de São Carlos, 2013-03-07)
In this work we study the nonlinear asymptotical dynamics of a semilinear reactiondiffusion equation of parabolic type, when the diffusion coefficient becomes very large in a subregion Ω0 which is interior to the ...
Classes de Reidemeister para coincidências entre secções de um fibrado
(Universidade Federal de São Carlos, 2014-03-28)
In this work we study the theory of Reidemeister coincidence classes for coincidences between two sections s; f : B → E de um fibrado q : E → B, both the algebraic treatment by the Reidemeister action and the ...