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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 ...
Boa postura analítica e Gevrey da “boa” equação de Boussinesq
(Universidade Federal de São Carlos, 2021-03-11)
In both the line and the circle, we shall to prove that the Cauchy problem for the ``good'' Boussinesq equation is locally well-posed in a class of Gevrey functions, which includes a class of analytic functions that can ...
Sobre teoremas do tipo Tverberg
(Universidade Federal de São Carlos, 2020-12-17)
The main objective of this work is to prove Tverberg-type theorems and related results. More specifically, we will present an alternative proof for the Bárány-Larman conjecture for the case $r = p-1 $ with $ p $ a prime, ...
Existência de pullback atrator exponencial para uma família de problemas dominados por uma perturbação do p(x)-Laplaciano com difusão grande localizada, via método das l-trajetórias
(Universidade Federal de São Carlos, 2020-12-22)
In this work, we use the method of l-trajectories to prove the existence of a family of exponential attractors for autonomous nonlinear reaction-diffusion equations, involving the p(x)-Laplacian with large localized ...
Grupos de tranças de superfícies finitamente perfuradas e grupos cristalográficos
(Universidade Federal de São Carlos, 2020-12-07)
The link between braid groups on surfaces and crystallographic groups has become such an interesting topic. In the last years some advances were found in the studies of this relation, specially in the case of Artin braid ...
Número de Nielsen-Borsuk-Ulam para aplicações entre toros
(Universidade Federal de São Carlos, 2021-03-25)
The Nielsen-Borsuk-Ulam number is a lower bound for the minimal number of pair of coincidences points such that f(x) = f(\tau(x)) in a given homotopy class of maps. In this text the Nielsen-Borsuk-Ulam number, NBU(f; \tau), ...
Estudos sobre A-identidades polinomiais
(Universidade Federal de São Carlos, 2021-07-21)
The aim of this work is to study A-identities in associative algebras. More specifically, we study the A-identities of the tensor square of the unitary and infinite dimensional Grassmann algebra E, denoted by R, and we ...
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 ...
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 ...
On the existence of free actions of the groups Z_2, S^1 and S^3 on some finitistic spaces and cohomology of orbit spaces
(Universidade Federal de São Carlos, 2021-12-16)
Let G be a compact Lie group and X be a finitistic space. If G acts continuously on X, we can construct the fibration
X \hookrightarrow X_{G} \arrow & B_{G}, (1)
called Borel fibration, where G\hookrightarrow ...