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Múltiplas soluções em certas classes de problemas elípticos não homogêneos e não locais
(Universidade Federal de São Carlos, 2018-03-29)
This work concerns multiplicity of solutions to some nonhomogeneous and nonlocal elliptic problems. The nonlocal term on the operator is of Kirchhoff type and it may be degenerated or not, continuous or discontinouos at ...
Localização dinâmica para perturbações de operadores de Schrödinger discretos com campo elétrico
(Universidade Federal de São Carlos, 2018-02-02)
We study the spectrum and the dynamical localization of some discrete quantum systems
with uniform electric fields under suitable perturbations with exponential decay in
the matrix elements. We consider three particular ...
Espectro absolutamente contínuo do operador Laplaciano
(Universidade Federal de São Carlos, 2018-04-06)
Let $\Omega$ be a periodic waveguide in $\mathbb R^3$, we denote by $-\Delta_\Omega^D$ and $-\Delta_\Omega^N$ the Dirichlet and Neumann Laplacian operators in $\Omega$, respectively. In this work we study the absolutely ...
Equações de evolução com laplaciano fracionário: existência, unicidade, estimativas Lp-Lq, conservação generalizada de energia e espalhamento
(Universidade Federal de São Carlos, 2018-09-21)
In this thesis we study some sigma-evolution equations in the Petrowsky's sense. When the coefficients are constant we obtain Lp-Lq estimates for linear equations and apply them to obtain results of existence, uniqueness ...
Local coercivity for semilinear elliptic problems
(Universidade Federal de São Carlos, 2018-03-13)
We study a non-homogeneous semilinear eliptic problem with Dirichlet condition baundary in a bounded domain and we show existence of solution. Also extend the result to the fraccionary laplacian case and to the homogeneous ...
Funções Lq ultradiferenciáveis globais e aplicações
(Universidade Federal de São Carlos, 2019-11-20)
The class of global Gevrey functions was introduced recently by Z. Adwan, G. Hoepfner and A. Raich, the elements in these spaces are defined in terms of its derivatives with estimates that depend on sequences. It is know ...
Grafeno multicamadas através de grafos quânticos periódicos: cones de Dirac
(Universidade Federal de São Carlos, 2020-03-06)
We study the spectral characterization and Dirac cones, always through periodic quantum graphs, in three situations. Firstly, we model bidimensional honeycomb materials, for instance, Graphene and Boron Nitride. We consider ...
Non-autonomous Klein-Gordon-Zakharov system: pullback dynamics in the continuous and impulsive approaches
(Universidade Federal de São Carlos, 2020-12-22)
This work is dedicated to study a non-autonomous formulation of the Klein-Gordon-Zakharov system, which is a coupled system consisting of two non-autonomous evolution equations, where each one is of second order in time. ...
Singularly nonautonomous semilinear evolution equations with almost sectorial operators
(Universidade Federal de São Carlos, 2021-09-21)
A great variety of phenomena that happens in nature relies on the theory of differential equations to be properly modeled and explained. In this work we focus on a specific class of partial differential equations named ...
Classificação de centros Hamiltonianos polinomiais biquadrados, e isocronicidade trivial versus formas canônicas para aplicações polinomiais no plano de Jacobiano unitário
(Universidade Federal de São Carlos, 2022-10-10)
This work, we classify a non- degenerate center at the origin of a planar Hamiltonian system associated to a function of the form $H(x,y)=A(x)+B(x)y^2 + C(x)y^4$, where $A$, $B$ and $C$ are polynomials. After seing a ...