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Teorema de holonomia normal
(Universidade Federal de São Carlos, 2013-08-30)
In this work we will introduce the concept of normal holonomy and restricted normal holonomy of a riemannian submanifold. They are subgroups of the orthogonal matrices that are realized from parallel translating normal ...
Equações elípticas singulares envolvendo o expoente crítico de Caffarelli-Kohn-Nirenberg e funções peso mudando de sinal
(Universidade Federal de São Carlos, 2012-02-15)
In this work we will study the existence of nonnegative nontrivial
weak solutions to singular elliptic equations involving the critical Caffarelli-Kohn-
Nirenberg exponent and sign-changing functions. For this purpose, ...
Analiticidade e suavidade micro-local para soluções de equações diferenciais parciais não lineares de primeira ordem
(Universidade Federal de São Carlos, 2012-04-02)
This work intends to study the analytic wave front set and theC8wave front set ofupx,0q, assu-ming that the partial differential equationsut fpx,t,u,uxqpresents a solutionu upx,tqPCk
Recobrimentos ramificados entre superfícies e dessins d'enfants
(Universidade Federal de São Carlos, 2012-03-19)
Given closed connected surfaces X and Y, integers n > 0 and d > 2, and for i = 1,..., n partitions (dy)j=i,...,mi of d. The 5-tuple (X, Y, n, d, (dij)) is called the branch datum of a candidate branched covering. Many works ...
Vetores Gevrey em estruturas localmente integráveis do tipo tubo
(Universidade Federal de São Carlos, 2014-03-14)
Estimativas de magnitudes da dinâmica quântica envolvendo dimensões de Hausdorff e de empacotamento
(Universidade Federal de São Carlos, 2014-03-21)
In this work we approach the nonrelativistic quantum mechanics from the point of view of mathematical physics; we present estimates of some dynamical quantities that are used to describe the return probability to the initial ...
Conjunto frente de ondas em classe de funções ultradiferenciáveis de soluções de equações diferenciais parciais lineares
(Universidade Federal de São Carlos, 2016-03-04)
In this work, we introduce the wave front set WF,(u) of a classical distribution with respect to the ultradifferentiable classes of Beurling and Eomieu type. Our main goal is to present a detailed proof of the inclusion
...
Bifurcação e estabilidade de equilíbrios de um problema de Neumann parabólico com peso indefinido em genética populacional
(Universidade Federal de São Carlos, 2015-03-30)
This work is concerned with a semilinear parabolic partial differential equation under a homogeneous Neumann boundary condition occuring in population genetics. It describes the evolution of gene frequencies under selection ...
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 ...