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Identidades polinomiais Zn-graduadas da álgebra Mn(F)
(Universidade Federal de São Carlos, 2016-02-22)
In this works we will study G-graded algebras and G-graded polynomial identities, where G is an additive group. For main result we will describe a finite basis for Zn-graded polynomial identities of the matrix algebra of ...
Existência e semicontinuidade de atratores global, pullback e de trajetórias
(Universidade Federal de São Carlos, 2016-07-27)
The mainly purpose of this paper is to study the asymptotic behaviour of abstract evolution equations.
The first part of this work is dedicated to the attraction theory for univoque autonomous and nonautonomous
problems ...
Resolubilidade contínua e singularidades removíveis para a equação divergente
(Universidade Federal de São Carlos, 2019-08-12)
In this text we study some results obtained by Nguyen Cong Phuc and Monica Torres in the paper "Characterizations of the Existence and Removable Singularities of Divergence-measure Vector Fields" regarding the characterisation ...
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 ...
Invariantes de singularidades em característica positiva
(Universidade Federal de São Carlos, 2020-03-30)
This dissertation mainly follows the works of \cite{Gr2} and \cite{Gr5}.
Considering $\mathbb{K}$ a field, algebraically closed with positive characteristic, we presented invariants of singularities in $\mathbb{K}[[\u ...
Teoria dos operadores integrais singulares
(Universidade Federal de São Carlos, 2020-04-28)
We present in this work some of the main results regarding the continuity in Lp and the definition almost everywhere of operators known as Singular Integrals, as well as some classic examples and applications. We have ...
Superfícies mínimas e a teoria min-max de Almgren--Pitts
(Universidade Federal de São Carlos, 2019-08-07)
First, we introduce the basic concept of minimal surfaces and develop some results in the general theory of minimal surfaces.
In the second part, we are interested in the Simon-Smith Min-Max approach to prove the existence ...
Fluxo de curvatura média e self-shrinkers
(Universidade Federal de São Carlos, 2020-06-12)
Mean curvature flow is a geometric flow that rises when evolving a hipersurface in the direction of its normal vector field with velocity at each point equal to the mean curvature at the very same point. As it is an evolution ...
Espectro do Laplaciano de Dirichlet-Neumann em faixas estreitas
(Universidade Federal de São Carlos, 2020-08-11)
Let $\Omega_\varepsilon$ be a thin strip in $\mathbb{R}^2$ and $-\Delta_{DN}^{\Omega_\varepsilon}$ the Dirichlet-Neumann Laplacian in $\Omega_\varepsilon$. In this work, we study the spectral problem of $-\Delta_{DN}^{\O ...
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 ...