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Uma versão abstrata do teorema de Cauchy-Kowalevski
(Universidade Federal de São Carlos, 2013-08-22)
Our main goal in this work is to present an abstract version of Cauchy-Kowalevski theorem and use it to solve the periodic Cauchy problem for the Camassa-Holm equation.
Fibrados, classes de Stiefel-Whitney e resultados de não imersão
(Universidade Federal de São Carlos, 2012-09-24)
We present an introductory study of smooth manifolds, bundles and Stiefel- Whitney classes (of real vector bundles). We explained that, given a certain smooth m-dimensional manifold, the Stiefel- Whitney classes of its ...
Taxa de atração para equações de reação-difusão com difusão grande localizada
(Universidade Federal de São Carlos, 2013-03-07)
In this work we study the nonlinear asymptotical dynamics of a semilinear reactiondiffusion equation of parabolic type, when the diffusion coefficient becomes very large in a subregion Ω0 which is interior to the ...
Estimativa de energia no infinito para equações hiperbólicas com coeficientes oscilantes
(Universidade Federal de São Carlos, 2012-08-10)
We study the behavior, as t ∞, of the energy for the solutions of the Cauchy problem for some strictly hyperbolic linear second order equations with coeficients very rapidly oscillating.
Uma caracterização homotópica do espaço de laços da suspensão de um espaço topológico
(Universidade Federal de São Carlos, 2011-03-06)
Our main goal in this dissertation is to show that the loopspace of reduced suspension of a connected CW complex X has the same type of homotopy that the free topological monoid generated by X.
Espectro do operador Laplaciano de Dirichlet em tubos deformados
(Universidade Federal de São Carlos, 2014-03-21)
Let Ω be a deformed tube in R3 and −∆Ω
D the Dirichlet Laplacian operator
in Ω. In this work, we are going to study the spectrum σ(−∆Ω
D) of the operator
−∆Ω
D. More precisely, we are going to analize how the geometrical ...
Existência de atrator para problemas com operadores monótonos e dominados pelo p-Laplaciano com difusão
(Universidade Federal de São Carlos, 2016-03-31)
This work is about the upper semicontinuity of the family of global attractors associated to nonlinear reaction diffusion equations whose principal part is determined by maximal operator monotonous governed by degenerate ...
Semigrupos gerados pelo p-Laplaciano e um estudo do limite p→∞
(Universidade Federal de São Carlos, 2012-05-02)
We study the problem: (2) _∂tup − Δpup = 0, (0,∞) × Rd up(0, x) = g(x), {t = 0} × Rd ∞ > p ≥ d+1, where the initial data up(0, x) = g(x) are Lipschitz continuous, non-negative and it have ...
Generalizações do truque de Kotani
(Universidade Federal de São Carlos, 2016-02-17)
We present a study of rank-one perturbations of self-adjoint and unitary operators, in particular related to the so-called Kotani’s trick. In Chapter 2 we recall relevant definitions and elementary facts. In Chapter 3 we ...
O Grau de Coincidência e aplicação às equações diferenciais ordinárias periódicas
(Universidade Federal de São Carlos, 2019-04-15)
In this work, we will present the coincident degree theory for Fredholm operators of index zero - denoted by L and defined on Banach spaces -, which is an important tool to obtain the existence of solutions for equations ...