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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 ...
Existence and multiplicity of solutions for problems involving the Dirac operator
(Universidade Federal de São Carlos, 2019-07-30)
In this thesis, we study equations that involving the Dirac operator and which have the form
$-i \alpha \cdot \nabla u + a \beta u + M(x)u = F_{u}(x,u), em \mathbb{R}^{3},$
where $\alpha = (\alpha_1, \alpha_2, \alpha_3),$ ...
Existência e multiplicidade de soluções para equações de Schrödinger com potencial magnético
(Universidade Federal de São Carlos, 2018-06-26)
In this work, we consider first a class of concave-convex type elliptical problems with sing-changing weight functions that satisfy some additional conditions. Still, we work with the magnetic laplacian operator. We prove ...
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 ...
Dinâmica de EDP parabólicas locais ou não locais: existência, unicidade e comportamento assintótico de solução
(Universidade Federal de São Carlos, 2019-07-12)
This work is dedicated to the study of dynamical properties of some partial differential equations (PDE, for short) of parabolic type, local or nonlocal ones. We prove existence, uniqueness and establish the asymptotic ...
Unicidade para equações dos tipos: Burgers, Kuramoto-Sivashinsky e Schrödinger
(Universidade Federal de São Carlos, 2017-12-15)
Based on Carleman's estimates and under certain conditions of linear exponential decay we prove uniqueness for equations of type: Burgers, Kuramoto-Sivashinsky and Schrödinger.
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 ...
Representação de soluções homogêneas contínuas de campos vetoriais no plano
(Universidade Federal de São Carlos, 2015-06-11)
In this work we study conditions for the validity of the analogue of Mergelyan’s
theorem for continuous solutions of a type of locally integrable vector field.
On a domain in the plane, we consider a vector field L that ...