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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.
Estabilidade em equações de reação e difusão : interação entre difusibilidade e geometria em superfícies de revolução e um problema singularmente perturbado no caso de intersecção das raizes da equação degenerada
(Universidade Federal de São Carlos, 2013-03-07)
In this work we study two distinct problems. The first is a parabolic problem with variable diffusivity on surfaces of revolution. The objective is to find mechanisms of interaction between the diffusivity function and the ...
Os grupos de tranças do toro e da garrafa de Klein
(Universidade Federal de São Carlos, 2015-02-24)
Nesta tese estudamos os grupos de tranças (puras) de superfícies, Bn(M) e Pn(M), onde M é uma superfície compacta, priorizando o estudo dos grupos de tranças do toro, T e da garrafa de Klein, K, para compreender suas ...
Confirmação matemática do efeito Aharonov-Bohm no modelo sem interação com a fronteira do solenóide
(Universidade Federal de São Carlos, 2016-05-30)
We study the Aharonov-Bohm effect model by adding a scalar potential in the initial Hamiltonian. Using known techniques of quantum confinement, we show that under certain conditions of divergence on this potential, the ...
Problemas elípticos superlineares com não linearidades assimétricas
(Universidade Federal de São Carlos, 2015-03-06)
The aim of this work is to present results of existence of solutions for a class of nonlinear asymmetryc elliptic problems. The asymmetry that we consider here has linear behavior on - infnity and superlinear on + infnity. ...
Análise microlocal nas classes de Denjoy-Carleman
(Universidade Federal de São Carlos, 2016-03-07)
Using a more general class of FBI transforms, introduced by S. Berhanu and J. Hounie in [16], we completely characterize regularity and microregularity in Denjoy-Carleman (non quasi analytic) classes, which includes the ...
Problemas de autovalores de Steklov-Neumann e aplicações
(Universidade Federal de São Carlos, 2012-03-26)
In this work we will obtain four main results of existence of weak solution, three of them to elliptic partial di_erential systems with nonlinear boundary conditions and the other to elliptic partial di_erential equations ...
Resultados do tipo Ambrosetti-Prodi para problemas quasilineares
(Universidade Federal de São Carlos, 2015-12-04)
We present results of Ambrosseti-Prodi type to quasilinear problems involving the p-Laplace operator. We consider the scalar case and a a problem with systems of equations. In the scalar case, we work with the conditions ...
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 ...
Existence and multiplicity of solutions to a class of elliptic problems involving operators with variable exponent
(Universidade Federal de São Carlos, 2016-12-05)
We study the existence and multiplicity of nontrivial solutions for two classes of elliptic problems. The first problem covers a general class of operators with variables exponents where the nonlinearitv has subcritical ...