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Laplaciano de Dirichlet e Dirichlet-Neumann em faixas ilimitadas
(Universidade Federal de São Carlos, 2023-04-27)
Let $\Omega$ be an unbounded two dimensional strip on a ruled surface in $\mathbb{R}^d$, $d\geq2$.
Consider $-\Delta_{\Omega}^{D}$ the Dirichlet Laplacian operator restricted to $\Omega$ and $-\Delta_{\Omega}^{DN}$ the ...
Multiplicação de distribuições no estudo de soluções de ondas delta choque
(Universidade Federal de São Carlos, 2023-12-15)
In this work, we will find the delta shock wave solution for three Riemann problem where two are hyperbolic systems of conservation laws with linear damping and a three-component nonlinear chromatography model. We will ...
Klein-Gordon models with non-effective time-dependent potential
(Universidade Federal de São Carlos, 2016-02-19)
In this thesis we study the asymptotic properties for the solution of the Cauchy
problem for the Klein-Gordon equation with non-effective time-dependent potential.
The main goal was define a suitable energy related to ...
Subordinação fractal para operadores de Schrödinger unidimensionais
(Universidade Federal de São Carlos, 2016-02-16)
We study fractal subordinacy theory for one-dimensional Schrödinger operators. First,
we review results on Hausdorff subordinacy for discrete one-dimensional Schrödinger operators in order to analyze the differences and ...
Problemas elípticos não lineares envolvendo equações do tipo Kirchhoff
(Universidade Federal de São Carlos, 2016-03-21)
In this work we study the existence of weak solutions for four nonlinear elliptic problems of Kirchhoff type. These problems have in common the presence of a function M : R+ [ f0g ! R+; known as Kirchhoff-type function. ...
A transformação vetorial de Ribaucour para subvariedades de curvatura constante
(Universidade Federal de São Carlos, 2015-06-09)
In this work we obtain a reduction of the vectorial Ribaucour transformation
that preserves the class of submanifolds with constant sectional curvature of space forms.
As a consequence, a process is derived to generate ...
Campos de vetores suaves por partes: preservação de medida, pressão topológica e dinâmica simbólica
(Universidade Federal de São Carlos, 2023-08-10)
The study of piecewise smooth vector fields (PSVFs) has been consolidated in recent years not
only because of the beauty of the theoretical results, but also because of the proximity of this area
to applied sciences such ...
Classes características de variedades topológicas e generalizadas
(Universidade Federal de São Carlos, 2022-03-24)
In this work, we will initially present generalized bundles, a concept developed by Fadell with
the objective of generalizing vector bundles, Stiefel-Whitney classes andWu’s formula from the
context of smooth manifolds ...
Existência de soluções estacionárias estáveis para equações de reação-difusão com condição de fronteira de Neumann não-linear: condições necessárias e condições suficientes.
(Universidade Federal de São Carlos, 2004-12-15)
In this work we consider some nonlinear reaction-difusion equations with nonlinear Neumann boundary condition. The objective is to present conditions on the geometry of the domain, as well as on the reaction and diffusion ...
Sistemas elípticos com pesos envolvendo o expoente crítico de Hardy-Sobolev
(Universidade Federal de São Carlos, 2007-11-20)
In this work, we will study the existence and nonexistence of positive weak solutions
for two classes of elliptic systems with weights. The first class will involve nonlinearities of
the type positone and semipositone. We ...