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Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
(Universidade Federal de São Carlos, 2011-02-20)
The objetive of this work is to generalize the classic Borsuk-Ulam's Theorem.
We studied there generalizations with respect to any comapact and Hausdor T-
space. We used in the proofs the Z2-index of Yang and the B-index. ...
Equação da onda com dissipação não efetiva dependente do tempo
(Universidade Federal de São Carlos, 2012-04-05)
The objective of this dissertation is to construct structural representations
of the solutions to Cauchy problems for weakly dissipative wave equations below
scaling and to deduce Strichartz type estimate Lp − Lq, q ≥ ...
Distribuições suportadas em um hiperplano e o espaço de Hardy hp(Rn)
(Universidade Federal de São Carlos, 2015-08-26)
The main aim of this work is to study necessary and sufficient conditions for a distribution, whose compact support is contained in a hyperplane, to be in the local Hardy space hp(Rn).
PI-equivalência em álgebras graduadas simples
(Universidade Federal de São Carlos, 2016-02-29)
This work aims to give a description, under certain hypothesis, of the graded simple algebras and prove that they are determined by their graded identities. For this, we study the papers [3] and [19]. More precisely we ...
Versões do teorema de Tverberg e aplicações
(Universidade Federal de São Carlos, 2016-02-25)
In this work, we will use topological methods in combinatorics and geometry to
present a proof of the topological Tverberg theorem and a result about many Tverberg
partitions.
Teoria do grau topológico e sua aplicação em um problema elíptico ressonante superlinear
(Universidade Federal de São Carlos, 2015-08-13)
In this work, we will show an important tool of nonlinear analysis, which has great
applicability in partial differential equations: the topological degree theory. We will
construct the topological degree in finite and ...
Uma estimativa do tipo L1 para potencial de Riesz
(Universidade Federal de São Carlos, 2019-08-13)
In this work we will present a L1-type estimates for the Riesz potentials envolving the Riesz transform. This estimate is an improvement of result due to Stein and Weiss the result of Stein and Weiss that provides Riesz ...
Efeito Aharonov-Bohm sem interação com a fronteira do solenóide
(Universidade Federal de São Carlos, 2013-03-08)
One of the biggest problem in the mathematical modeling of the Aharonov- Bohm Effect is the interaction between the electron and the solenoid border. Such interaction translates into boundary conditions on that border, ...
Teorema de Schur no plano de Minkowski e caracterização de hélices inclinadas no espaço de Minkowski
(Universidade Federal de São Carlos, 2013-06-27)
A classical theorem of differential geometry of curves in Euclidean space is the Schur's Theorem, that was proof by A. Schur in 1921, when both curvatures agree pointwise [3]. The proof in the general case was proved in ...
Continuidade de atratores para problemas parabólicos semilineares sob perturbações do domínio
(Universidade Federal de São Carlos, 2013-03-14)
In this work we will obtain the continuity of attractors for semilinear parabolic problems with Neumann boundary conditions relatively to perturbations of the domain. We will show that, if the perturbations on the domain ...