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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 ≥ ...
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. ...
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 ...
Ações e folheações polares em variedades de Hadamard
(Universidade Federal de São Carlos, 2014-02-27)
This work aims at presenting some recent results on the theory of polar foliations, also know as singular riemannian foliations with sections, on nonpositively curved manifolds, as seen in T oben [24]. Polar actions are ...
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, ...
Involuções fixando FnUF3
(Universidade Federal de São Carlos, 2010-12-15)
Let Mm a closed and smooth m-dimensional manifold and T : Mm - Mm a smooth involution defined on Mm. It is well known that the fixed point set F of T is a finite and disjoint union of closed submanifolds, with possibly ...
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 ...
Leis de conservacão escalar: fórmula explícita e unicidade
(Universidade Federal de São Carlos, 2011-03-23)
We study scalar conservation laws, with the deduction of an explicit formula of a smooth solution with compact support, we also present the behavior of the solution given by the formula when the initial value is zero outside ...
Vetores Gevrey em estruturas localmente integráveis do tipo tubo
(Universidade Federal de São Carlos, 2014-03-14)