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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 ...
Estabilidade dinâmica para sistemas quânticos dependentes do tempo
(Universidade Federal de São Carlos, 2006-10-16)
We study if a time-dependent system is either dynamically stable or unstable,
i.e., if the expected value of a positive and discrete observable is a bounded
function of time or not. Initially we consider topological ...
Existência de variedade invariante e atrator para a equação ut = uxx + f(u)
(Universidade Federal de São Carlos, 2007-03-26)
In this work we study the differential equation
ut = uxx+ f (u); 0 6 x 6 1; t > 0
with homogeneous Dirichlet boundary conditions and f 2C1(R;R) lipschitz and bounded globally
and satisfying the following conditions:
...
Estimativas a priori para problemas elípticos via desigualdade de Hardy-Sobolev
(Universidade Federal de São Carlos, 2014-02-28)
In this thesis we study a priori bounds for positive solutions of a class of nonlinear elliptic equations. More precisely, we establish a priori bounds for positive solutions of the problem (continue...)
O problema de Cauchy para sistemas quase-lineares hiperbólicos é bem posto em espaços de Hölder
(Universidade Federal de São Carlos, 2012-08-10)
We consider the Cauchy problem for the quasi-linear systems
that is, the system is hyperbolic at u = 0. We show that certain Besov spaces are preserved by flow of the solution, near the null solution.
Semicontinuidade superior de atratores para semigrupos multívocos
(Universidade Federal de São Carlos, 2007-08-16)
In this work we developed an abstract theory for existence and characterization of
attractors for multivalued semigroups defined by generalized semi
ows and we apply
the abstract results to systems of p-laplacian ...
Caracterizações da compactificação de Poincaré de campos polinomiais do plano
(Universidade Federal de São Carlos, 2007-09-25)
In this work, we describe the Poincaré Compactification of polinomial vector fields and present two characterization of it.
O conceito de n-varifold e EDP
(Universidade Federal de São Carlos, 2006-03-03)
The goal of this work is the detailed study of some topics of Geometric Measure Theory, giving special attention to the n-varifold concept and illustrating its use in the asymptotic behavior of critical points of the energy ...