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Equação da onda com dissipação não efetiva dependente do tempo
(Universidade Federal de São Carlos, 2012-04-05)
The objective of this dissertation is to construct structural representations
of the solutions to Cauchy problems for weakly dissipative wave equations below
scaling and to deduce Strichartz type estimate Lp − Lq, q ≥ ...
Equações elípticas singulares envolvendo o expoente crítico de Caffarelli-Kohn-Nirenberg e funções peso mudando de sinal
(Universidade Federal de São Carlos, 2012-02-15)
In this work we will study the existence of nonnegative nontrivial
weak solutions to singular elliptic equations involving the critical Caffarelli-Kohn-
Nirenberg exponent and sign-changing functions. For this purpose, ...
Analiticidade e suavidade micro-local para soluções de equações diferenciais parciais não lineares de primeira ordem
(Universidade Federal de São Carlos, 2012-04-02)
This work intends to study the analytic wave front set and theC8wave front set ofupx,0q, assu-ming that the partial differential equationsut fpx,t,u,uxqpresents a solutionu upx,tqPCk
Recobrimentos ramificados entre superfícies e dessins d'enfants
(Universidade Federal de São Carlos, 2012-03-19)
Given closed connected surfaces X and Y, integers n > 0 and d > 2, and for i = 1,..., n partitions (dy)j=i,...,mi of d. The 5-tuple (X, Y, n, d, (dij)) is called the branch datum of a candidate branched covering. Many works ...
Campos localmente resolúveis, espaços de Hardy e extensão de funções CR
(Universidade Federal de São Carlos, 2012-05-23)
Suppose that M is a smooth submanifold of CN and that L = ∪z∈CnLz is the Cauchy- Riemann structure associated to the N-dimensional complex space. For each p ∈ M we can consider the vector space Ap = CTpM ...
Involuções fixando muitas componentes e melhorias para o 5/2-Teorema de J. Boardman
(Universidade Federal de São Carlos, 2012-03-05)
Let (Mm; T) be a smooth involution on a closed smooth m-dimensional manifold and F = n [j=0 Fj (n < m) its fixed point set, where Fj denotes the union of those components of F having dimension j. The famous Five Halves ...
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 ...
Problemas de autovalores de Steklov-Neumann e aplicações
(Universidade Federal de São Carlos, 2012-03-26)
In this work we will obtain four main results of existence of weak solution, three of them to elliptic partial di_erential systems with nonlinear boundary conditions and the other to elliptic partial di_erential equations ...
Imersões isométricas em produtos de duas formas espaciais
(Universidade Federal de São Carlos, 2012-04-27)
In this thesis we study isometric immersions into products of two space forms using the approach introduced by Lira et al in [18]. Parallel isometric immersions into products of two space forms with nonzero sectional ...
O problema de Cauchy para sistemas quase-lineares hiperbólicos é bem posto em espaços de Hölder
(Universidade Federal de São Carlos, 2012-08-10)
We consider the Cauchy problem for the quasi-linear systems
that is, the system is hyperbolic at u = 0. We show that certain Besov spaces are preserved by flow of the solution, near the null solution.