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Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n)
(Universidade Federal de São Carlos, 2018-04-06)
In this work we will present a new characterization of the Sobolev space W^{1,1}(\R^n) and also we give another proof of the characterization of the Sobolev space W^{1,p}(\R^n), 1<p<\infty, in terms of Poincaré inequalities. ...
Atrator pullback para uma equação de onda semilinear amortecida
(Universidade Federal de São Carlos, 2018-02-26)
In this work, we present some of the theories of semigroups and global attractors. Also, we present process of evolution and pullback attractors. Finally, we show the existence and regularity of the pullback attractor for ...
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 ...
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 ...