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Now showing items 11-20 of 32
Um estudo qualitativo do contraexemplo de Pinchuk
(Universidade Federal de São Carlos, 2017-02-24)
In this work we studied the topological behaviour of the level curves of the polinomial p
of Pinchuk counterexample of the Real Jacobian Conjecture, namely, a polinomial non
injective map of R^2 with the form (p,q) with ...
Boa postura da "boa" equação de Boussinesq em espaços de Sobolev na reta e no toro
(Universidade Federal de São Carlos, 2018-03-02)
In this work we address the problem of good posture of the nonlinear partial differential equation known as the "good" Boussinesq equation in Sobolev spaces. We will present the results of good posture in both cases, the ...
Uma estimativa do tipo L1 para potencial de Riesz
(Universidade Federal de São Carlos, 2019-08-13)
In this work we will present a L1-type estimates for the Riesz potentials envolving the Riesz transform. This estimate is an improvement of result due to Stein and Weiss the result of Stein and Weiss that provides Riesz ...
Resolubilidade contínua e singularidades removíveis para a equação divergente
(Universidade Federal de São Carlos, 2019-08-12)
In this text we study some results obtained by Nguyen Cong Phuc and Monica Torres in the paper "Characterizations of the Existence and Removable Singularities of Divergence-measure Vector Fields" regarding the characterisation ...
Hipoelipticidade global de campos vetoriais no toro TN
(Universidade Federal de São Carlos, 2010-06-21)
In this work, we will see that if the transpose operator of a smooth real vector field L defined on the N-dimensional torus, regarded as a linear differential operator with coefficients in C1(TN), is globally hypoelliptic, ...
Analiticidade, na variável espacial, da solução do problema de Caucky para a equação de KdV
(Universidade Federal de São Carlos, 2006-03-13)
In this work we use bilinear estimates and point fix theorem to show that the solution to the initial value problem for the Korteweg-de Vries equation with analytic periodic initial data is analytic and periodic in the ...
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 ...
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 ...