3125765 documents found, page 8456 of 312577
Extensões de Ore e Álgebras de Weyl
Eugenio, Pedro AlfredoIn this work we will study the definitions, examples and basic properties of Ore extensions. In particular, we will present a special case of Ore extensions, the Weyl algebras An(K) over a field K. We will see that An(K) is a simple noetherian domain. We will study also the dimension d(M) of a finitely generated An(K)-module and we will prove the Bernstein's inequality, n d(M) 2n. Finally we will study the holo...
Existência de soluções para uma classe de problemas elípticos não quadráticos n...
Santos, Renato Augusto NascimentoWe study the deformation theorem using the condition introduced by Cerami [8]. Furthermore, we study the following Dirichlet problem: ( u = f(x; u); x 2 u = 0; x 2 @ where is a smooth and bounded domain in RN and f : R ! R is a Caratheodory function with subcritical growth. In the above problem, we use the condition of Cerami [8] again, to ensure the existence of non-trivial solution. For this purpose, we use G...
Uma introdução à Cohomologia local
Sousa, Wállace Mangueira deThe goal this work is to understand the local cohomology functor, and some of its properties. We show that this functor has a relation with the functor Ext. Furthermore, we show the followings theorems: Grothendieck's Vanishing Theorem, Hartshorne's Vanishing Theorem, Grothendieck's Non-Vanishing Theorem and Hartshorne-Linchenbaum's Vanishing Theorem.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior...
Algebras de Rees
Macedo, Ricardo Burity CrocciaIn this work, we present the notion of Rees algebra of an ideal and some of its basic properties. Such concept is related to the normality of rings and ideals, and to reductions of ideals as well. Finally, we shall exhibit the Rees algebra of a module, proving some generalizations of results in the case of ideals.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; Neste trabalho, apresentarem...
Desigualdade de Carleman global para uma Equação da Onda de Transmissão e Aplic...
Sousa Neto, Gilcenio Rodrigues deWe consider a transmission wave equation in two embedded domains in R2, where the speed is a1 > 0 in the inner domain and a2 > 0 in the outer domain. We prove a global Carleman inequality for this problem under the hypothesis that the inner domain is strongly convex and a1 > a2. As a consequence of this inequality, uniqueness and Lipschitz stability are obtained for the inverse problem of retrieving a stationar...
Capillary Problem and Mean Curvature Flow of Killing Graphs
Wanderley, Gabriela AlbuquerqueWe study two types of Neumann problem related to Capillary problem and to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. In particular, we prove the existence of Killing graphs with prescribed mean curvature and prescribed boundary conditions.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES; Estudamos dois tipos de problemas re...
Grupos Discretos no Plano Hiperbólico
Silva, Carlos Antonio GuimarãesSet a generalization of Möbius transformation and build a theory of inductive that may be an n-dimensional hyperbolic space. This theory allows for the inductive starting with n = 1, together with the extension notion of the Poincaré build a chain groups GM(n) transformation Möbius and spaces hyperbolic H2 members. We will see explicit formulas for the Poincaré bisectors in size 2. And may on models of hiperbol...
Sobre operadores entre espaços de sequências que atingem a norma
Silva, Juan Carlo da CruzIn this work we present a recent result, due to D. Pellegrino and E. V. Teixeira, that characterizes the continuous linear operators between lpspaces which attain their norms. To this end, we Örstly explore some topics from the Banach space theory, such as Banachís Theorem for basis, Bessaga-Pe ̃czynski Selection Principle and Pittís Theorem.; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Ne...
Limites, Continuidade, Derivabilidade e Aplicações
Gonçalo, Rildo CaririThe text on Limits, Continuity, Derivability and Applications is aimed at students of undergraduate courses in mathematics and basic education teachers, especially those active in high school as a way to aid in their studies in subjects that address the differential calculus. Whenever possible, approach the issues presented with content of basic education seeking a link between some content. The examples are as...
Aplicações da geometria riemanniana em estatística matemática
Barrêto, Felipe Fernando ângeloCook's local infuence approach based on normal curvature is an important diagnostic tool for assessing local infuence of minor perturbations to a statistical model. However, no rigorous approach has been developed to address two fundamental issues: the selection of an appropriate perturbation and the development of infuence measures for objective functions at a point with a nonzero rst derivative. The aim of th...