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Determinante regularizado do Laplaciano e conjuntos isoespectrais em superfícies
(Universidade Federal de São Carlos, 2019-02-27)
On compact surfaces with boundary, with some conditions in a conformal class, we study the problem about to find a metric with constant Gaussian curvature with boundary of constant geodesic curvature for which the regularized ...
Solução do problema da conjugação para algumas extensões de grupos
(Universidade Federal de São Carlos, 2017-02-23)
This essay is a detailed introductory study of Combinatorial Group Theory and one of its three classical problems: the Conjugacy Problem. We studied its solution for several classes of group extensions, obtained in [1] and ...
Imersões de variedades de Dold e de Wall em espaços euclidianos
(Universidade Federal de São Carlos, 2017-03-10)
Invariantes de germes de aplicações
(Universidade Federal de São Carlos, 2017-04-19)
In this work, we show relations between invariants of map germs. First, we consider an analytic function germ f : (X, 0) —(C, 0) on an isolated determinantal singularity and we present a relation between the Euler obstruction ...
A mean-field game model of economic growth : an essay in regularity theory
(Universidade Federal de São Carlos, 2016-12-20)
In this thesis, we present a priori estimates for solutions of a mean-field game (MFG) defined
over a bounded domain Ω ⊂ ℝd. We propose an application of these results to a model of capital
and wealth accumulation.
In ...
Conjunto frente de ondas em classe de funções ultradiferenciáveis de soluções de equações diferenciais parciais lineares
(Universidade Federal de São Carlos, 2016-03-04)
In this work, we introduce the wave front set WF,(u) of a classical distribution with respect to the ultradifferentiable classes of Beurling and Eomieu type. Our main goal is to present a detailed proof of the inclusion
...
Atratores para processos generalizados e aplicações a um problema não autônomo com dinâmica na fronteira
(Universidade Federal de São Carlos, 2017-03-17)
This work is dedicated to the study of the asymptotic behavior of nonautonomous
evolution problems without uniqueness of solution. More specifically, to the existence
of attractors, in different contexts, for dynamical ...
Hipersuperfícies conformemente euclidianas com curvatura média ou escalar constante
(Universidade Federal de São Carlos, 2016-11-10)
In this work we study conformally flat hypersurfaces f: M3 ^ Q4(c) with three distinct principal curvatures in a space form with constant sectional curvature c, under the assumption that either its mean curvature H or its ...
Relative differential cohomology
(Universidade Federal de São Carlos, 2017-09-27)
We briefly review the classical construction of the Cheeger-Simons characters, the Deligne cohomology groups and the differential K-theory groups, which are representatives of the absolute differential refinement of the ...
Um estudo qualitativo do contraexemplo de Pinchuk
(Universidade Federal de 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 ...