Now showing items 1-11 of 11

• #### Uma nova caracterização dos Espaços de Sobolev W^{1,p}(R^n) ﻿

(Universidade Federal de São CarlosUFSCarPrograma de Pós-graduação em MatemáticaCâmpus 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. ...
• #### Um estudo qualitativo do contraexemplo de Pinchuk ﻿

(Universidade Federal de São CarlosUFSCarPrograma de Pós-graduação em MatemáticaCâmpus 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 ...
• #### Equações de evolução com laplaciano fracionário: existência, unicidade, estimativas Lp-Lq, conservação generalizada de energia e espalhamento ﻿

(Universidade Federal de São CarlosUFSCarPrograma de Pós-graduação em MatemáticaCâmpus 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 ...
• #### Boa postura da "boa" equação de Boussinesq em espaços de Sobolev na reta e no toro ﻿

(Universidade Federal de São CarlosUFSCarPrograma de Pós-graduação em MatemáticaCâmpus 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 ...
• #### Espectro absolutamente contínuo do operador Laplaciano ﻿

(Universidade Federal de São CarlosUFSCarPrograma de Pós-graduação em MatemáticaCâmpus 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 ...
• #### Local coercivity for semilinear elliptic problems ﻿

(Universidade Federal de São CarlosUFSCarPrograma de Pós-graduação em MatemáticaCâmpus 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 ...
• #### Analiticidade, na variável espacial, da solução do problema de Caucky para a equação de KdV. ﻿

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 ...
• #### Atrator pullback para uma equação de onda semilinear amortecida ﻿

(Universidade Federal de São CarlosUFSCarPrograma de Pós-graduação em MatemáticaCâmpus 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 ...