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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 ...
Confinamento de partículas quânticas a curvas do espaço
(Universidade Federal de São Carlos, 2010-05-24)
In this work we study dimensional reductions in some quantum systems; such reductions occur due to confinement of the particle from a tube in space to a curve. Our main goal is to find the effective hamiltonian operator ...
Micro-regularidade Gevrey de soluções de sistemas involutivos de edp's não lineares de primeira ordem
(Universidade Federal de São Carlos, 2010-03-05)
Let u be a C2 solution for a Gevrey involutive system of _rst order nonlinear partial di_erential equations. In this work, we show that the Gevrey wave front set of order s of u is contained in the characteristic set of ...
Injetividade de aplicações polinomiais via resolubilidade de campos vetoriais
(Universidade Federal de São Carlos, 2010-08-19)
Let F : Rn → Rn be a polynomial map such that the derivative map DF(x) be invertible for each x ∈ Rn. In this work, using techniques of solvability of suitable vector fields, we investigate the role of the ...
Existência global de soluções para alguns sistemas de leis de conservação
(Universidade Federal de São Carlos, 2010-08-17)
In this work, we studied the construction of weak solutions for some systems conservation laws and for a scalar conservation laws For the p-systems relativistic we use the Wave-front tracking based on Bressan, when the ...
Teoria de Littlewood-Paley e o problema de Cauchy para a equação da onda cúbica
(Universidade Federal de São Carlos, 2010-07-08)
In this work, we study the result of well-posedness for the cubic wave equation
u + u3 = 0 in R3, due to H. Bahouri e J.-Y. Chemin, where the Cauchy data is in
the Homogeneous Sobolev space ̇H3/4(R3) × ̇H−1/4(R3). The ...
Hipoelipticidade global de campos vetoriais no toro TN
(Universidade Federal de São Carlos, 2010-06-21)
In this work, we will see that if the transpose operator of a smooth real vector field L defined on the N-dimensional torus, regarded as a linear differential operator with coefficients in C1(TN), is globally hypoelliptic, ...
Detectando fatores de variedade de codimensão um com propriedades de posição geral
(Universidade Federal de São Carlos, 2010-05-18)
This work is an approach to the famous "Product with a Line Problem". It investigates the class of topological spaces whose cartesian product with R is a topological manifold. Such spaces are called "Codimension One Manifold ...
Propriedade de Wecken para pontos periódicos
(Universidade Federal de São Carlos, 2010-03-05)
The objective of this work is to present some procedures for orbits of periodic points class to relate the full Nielsen-Jiang periodic point of a self map of a manifold of dimension greater than three with the cardinality ...
A conjectura de Zariski para a multiplicidade
(Universidade Federal de São Carlos, 2010-06-24)
In his retiring Presidential address to the American Mathematical Society in 1971, Zariski proposed some questions in the Theory of Singularities. One of them concerns the topological invariance of the multiplicity of ...