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Klein-Gordon models with non-effective time-dependent potential
(Universidade Federal de São Carlos, 2016-02-19)
In this thesis we study the asymptotic properties for the solution of the Cauchy
problem for the Klein-Gordon equation with non-effective time-dependent potential.
The main goal was define a suitable energy related to ...
Subordinação fractal para operadores de Schrödinger unidimensionais
(Universidade Federal de São Carlos, 2016-02-16)
We study fractal subordinacy theory for one-dimensional Schrödinger operators. First,
we review results on Hausdorff subordinacy for discrete one-dimensional Schrödinger operators in order to analyze the differences and ...
Problemas elípticos não lineares envolvendo equações do tipo Kirchhoff
(Universidade Federal de São Carlos, 2016-03-21)
In this work we study the existence of weak solutions for four nonlinear elliptic problems of Kirchhoff type. These problems have in common the presence of a function M : R+ [ f0g ! R+; known as Kirchhoff-type function. ...
A transformação vetorial de Ribaucour para subvariedades de curvatura constante
(Universidade Federal de São Carlos, 2015-06-09)
In this work we obtain a reduction of the vectorial Ribaucour transformation
that preserves the class of submanifolds with constant sectional curvature of space forms.
As a consequence, a process is derived to generate ...
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 ...
Involuções fixando muitas componentes e melhorias para o 5/2-Teorema de J. Boardman
(Universidade Federal de São Carlos, 2012-03-05)
Let (Mm; T) be a smooth involution on a closed smooth m-dimensional manifold and F = n [j=0 Fj (n < m) its fixed point set, where Fj denotes the union of those components of F having dimension j. The famous Five Halves ...
O número de Milnor de uma singularidade isolada
(Universidade Federal de São Carlos, 2011-11-24)
Given (X; 0) C (CN; 0) a weighted homogeneous germ of hypersurface with isolated singularity and f : (CN; 0) - C a germ of function finitely determined with respect to X, we show that UBR(f;X) = U(f) + U(X; f), where U(f) ...