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Resolubilidade local para duas classes de campos de vetores suaves complexos
(Universidade Federal de São Carlos, 2016-07-28)
This work study complex linear partial differential operators of order one without
having terms of zero order (complex vector fields). We have established a necessary and
suficient condition for local solvability of a ...
Teoria do grau topológico e sua aplicação em um problema elíptico ressonante superlinear
(Universidade Federal de São Carlos, 2015-08-13)
In this work, we will show an important tool of nonlinear analysis, which has great
applicability in partial differential equations: the topological degree theory. We will
construct the topological degree in finite and ...
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 ...
Dinâmica de EDP parabólicas locais ou não locais: existência, unicidade e comportamento assintótico de solução
(Universidade Federal de São Carlos, 2019-07-12)
This work is dedicated to the study of dynamical properties of some partial differential equations (PDE, for short) of parabolic type, local or nonlocal ones. We prove existence, uniqueness and establish the asymptotic ...
Efeito Aharonov-Bohm sem interação com a fronteira do solenóide
(Universidade Federal de São Carlos, 2013-03-08)
One of the biggest problem in the mathematical modeling of the Aharonov- Bohm Effect is the interaction between the electron and the solenoid border. Such interaction translates into boundary conditions on that border, ...
Existência e multiplicidade de soluções para uma classe de equações de Schrödinger com expoente supercrítico
(Universidade Federal de São Carlos, 2014-06-30)
Teorema de Schur no plano de Minkowski e caracterização de hélices inclinadas no espaço de Minkowski
(Universidade Federal de São Carlos, 2013-06-27)
A classical theorem of differential geometry of curves in Euclidean space is the Schur's Theorem, that was proof by A. Schur in 1921, when both curvatures agree pointwise [3]. The proof in the general case was proved in ...
Continuidade de atratores para problemas parabólicos semilineares sob perturbações do domínio
(Universidade Federal de São Carlos, 2013-03-14)
In this work we will obtain the continuity of attractors for semilinear parabolic problems with Neumann boundary conditions relatively to perturbations of the domain. We will show that, if the perturbations on the domain ...
As hipersuperfíces de Sbrana-Cartan
(Universidade Federal de São Carlos, 2013-01-09)
In this work, based on the papers [5] and [6], we present the classification of Euclidean hypersurfaces that admit nontrivial isometric deformations, called Sbrana -Cartan hypersurfaces, by means of the Gauss parameterization.
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