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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 ...
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 ...
Uma versão abstrata do teorema de Cauchy-Kowalevski
(Universidade Federal de São Carlos, 2013-08-22)
Our main goal in this work is to present an abstract version of Cauchy-Kowalevski theorem and use it to solve the periodic Cauchy problem for the Camassa-Holm equation.
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 ...
Resultados de existência para as equações críticas de Klein-Gordon-Maxwell
(Universidade Federal de São Carlos, 2011-02-10)
In this work we analyze the existence of radially symmetric solutions, positive solutions as well as the existence of ground state solutions for a class of Klein-Gordon-Maxwell equations when the nonlinearity exhibits ...
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 ...
Estimativas locais para complexos elíticos
(Universidade Federal de São Carlos, 2011-06-16)
In this work, we extend some global L1 estimates proved by Bourgain-Brezis in the case of the de Rham complex on RN to the setup of local L1 estimates for elliptic complexes, namely, those associated to involutive elliptic ...
Relative differential cohomology
(Universidade Federal de São Carlos, 2017-09-27)
We briefly review the classical construction of the Cheeger-Simons characters, the Deligne cohomology groups and the differential K-theory groups, which are representatives of the absolute differential refinement of the ...
Solução do problema da conjugação para algumas extensões de grupos
(Universidade Federal de São Carlos, 2017-02-23)
This essay is a detailed introductory study of Combinatorial Group Theory and one of its three classical problems: the Conjugacy Problem. We studied its solution for several classes of group extensions, obtained in [1] and ...
Imersões de variedades de Dold e de Wall em espaços euclidianos
(Universidade Federal de São Carlos, 2017-03-10)