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Teoria dos operadores integrais singulares
(Universidade Federal de São Carlos, 2020-04-28)
We present in this work some of the main results regarding the continuity in Lp and the definition almost everywhere of operators known as Singular Integrals, as well as some classic examples and applications. We have ...
Teoremas ergódicos para sistemas multívocos e aleatórios com aplicações a semifluxos generalizados
(Universidade Federal de São Carlos, 2021-02-05)
This work focuses on four major themes: semiflows; generalized semiflows; invariant measure for set-valued maps; and random dynamical systems.
The study of semiflows aims to understand the asymptotic behavior of solutions ...
Existência de soluções para uma classe geral de operadores do tipo p&q-Laplacianos
(Universidade Federal de São Carlos, 2021-08-26)
In this work, we will study the existence of non-trivial weak solutions for two classes
of elliptic and nonlinear problems, whose growth condition on these nonlinearities is
subcritical and which involve general operators ...
Leis de conservação: teoria geral
(Universidade Federal de São Carlos, 2022-03-24)
In this thesis we study some aspects of the theory of Partial Differential Equations (PDE's), the theory of the existence and the uniqueness of classical solutions to the Cauchy problem u_t+f'(u)u_x=0, u(0,x)=u_0(x) in the ...
Espectro do Laplaciano de Dirichlet-Neumann em faixas estreitas
(Universidade Federal de São Carlos, 2020-08-11)
Let $\Omega_\varepsilon$ be a thin strip in $\mathbb{R}^2$ and $-\Delta_{DN}^{\Omega_\varepsilon}$ the Dirichlet-Neumann Laplacian in $\Omega_\varepsilon$. In this work, we study the spectral problem of $-\Delta_{DN}^{\O ...
Attractors for processes on time-dependent spaces
(Universidade Federal de São Carlos, 2022-04-12)
The goal of this master’s degree dissertation is to study the asymptotic behavior of non-autonomous
hyperbolic partial differential equations with time-dependent coefficients. In order to achieve that, we
introduce the ...
On the classification of two dimensional flows
(Universidade Federal de São Carlos, 2023-08-02)
Lawrence Markus, a well-known mathematician, published, in 1954, a strong result about classification of planar vector fields. Afterwards, Dean Arnold Neumann generalized such work for continuous flows, and the result ...