4,983 research outputs found

    L2L^2 estimates and existence theorems for \protect \overline{\partial }_b on Lipschitz boundaries of QQ-pseudoconvex domains

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    On a bounded qq-pseudoconvex domain Ω\Omega in Cn\mathbb{C}^{n} with Lipschitz boundary bΩb\Omega , we prove the L2L^2 existence theorems of the b\overline{\partial }_b-operator on bΩb\Omega . This yields the closed range property of b\overline{\partial }_b and its adjoint b\overline{\partial }_b^*. As an application, we establish the L2L^2-existence theorems and regularity theorems for the b\overline{\partial }_b-Neumann operator

    Session: Industry Applications

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    Two Papers: 1. Determinants of Permission Email Effectiveness. Presenter: Jin Li, University of Alberta. Co-author: Paul R. Messinger, University of Alberta. 2. Changes in Service Delivery in Residential Real Estate. Presenter: Jane Saber, University of Texas, Tyler. Co-author: Paul R. Messinger, University of Alberta. Discussant: John Beauchamp,eFuture Centre/Busines Lin

    INSTRUÇÃO PÚBLICA, SABER ELEMENTAR E CURRÍCULO: REFLEXÕES A PARTIR DA OBRA CONDORCET

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    Condorcet is a author linked to the history of the public instruction and the formation ofthe republican citizen. The present text analyzes the conception of elementaryknowledge in its work as a base to argue the school curriculum in a ethical and politicalperspective. From a inicial presentation of his pedagogical ideas it is showed theelementary knowledge conception as a “key for all posterior knowledge”. One revealsthat the public instruction in its articulation with the epistemical and juridicaldimensions is essencial to his liberal conception of citizenship.Condorcet é um autor ligado à história da instrução pública e da formação docidadão republicano. O presente texto analisa a concepção de saber elementar em suaobra como um eixo para se discutir o currículo numa perspectiva ético-política. A partirde uma contextualização da obra pedagógica do autor, discute-se a sua concepção desaber elementar, destacando o seu caráter estratégico de “chave para todos os saberesposteriores”. Mostra-se que a instrução pública articular o epistêmico e o jurídico noprocesso de decisão sobre o que se chama de currículo escolar

    The L2L^2 ˉ\bar \partial -Cauchy problem on weakly qq-pseudoconvex domains in Stein manifolds

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    summary:Let XX be a Stein manifold of complex dimension n2n\ge 2 and ΩX\Omega \Subset X be a relatively compact domain with C2C^2 smooth boundary in XX. Assume that Ω\Omega is a weakly \mbox {qq-pseudoconvex} domain in XX. The purpose of this paper is to establish sufficient conditions for the closed range of ˉ\bar \partial on Ω\Omega . Moreover, we study the \mbox {ˉ\bar \partial -problem} on Ω\Omega . Specifically, we use the modified weight function method to study the weighted \mbox {ˉ\bar \partial -problem} with exact support in Ω\Omega . Our method relies on the \mbox {L2L^2-estimates} by Hörmander (1965) and by Kohn (1973)

    A MEMÓRIA COMO UMA OUTRA PERSPECTIVA NA “VIRADA TESTEMUNHAL E DECOLONIAL DO SABER HISTÓRICO”, DE MÁRCIO SELIGMANN-SILVA

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    Published in 2022, A virada testemunhal e decolonial do saber histórico, a book by Márcio Seligmann-Silva, brings together twelve texts, some already published in scientific journals and now prepared for a chapter, some unpublished, which proposes to present another perspective on historical knowledge. This perspective, as proposed by the author himself, is a vision that comes from the “testimonial and decolonial turn” of history, and to contribute to this knowledge, the theorist presents Memory as another possibility of understanding the past. Composing his argument, the theory brings to our reflection thinkers from philosophy, history, literature, as well as considerations on the category and its various facets which we propose to present in this review.RESUMO: Publicado em 2022, A virada testemunhal e decolonial do saber histórico, livro de Márcio Seligmann-Silva reúne doze textos, alguns já publicados em revistas científicas e agora elaborados para capítulo, alguns inéditos, os quais se propõe a apresentar uma outra perspectiva ao saber histórico. Essa perspectiva, conforme propõe o próprio autor, se trata de uma visão que é oriunda da “virada testemunhal e decolonial” da história, e para a contribuição desse saber, o teórico apresenta a Memória como mais uma possibilidade de compreensão do passado. Compondo o seu argumento, o teórico traz para a nossa reflexão pensadores da filosofia, história, literatura, bem como ponderações sobre a categoria e suas diversas facetas as quais nos propomos a apresentar nesta resenha

    The ˉ\bar {\partial }-Neumann operator on Lipschitz qq-pseudoconvex domains

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    summary:On a bounded qq-pseudoconvex domain Ω\Omega in Cn\mathbb {C}^{n} with a Lipschitz boundary, we prove that the ˉ\bar {\partial }-Neumann operator NN satisfies a subelliptic (1/2)(1/2)-estimate on Ω\Omega and NN can be extended as a bounded operator from Sobolev (1/2)(-1/2)-spaces to Sobolev (1/2)(1/2)-spaces

    Compactness of the canonical solution operator on Lipschitz q-pseudoconvex boundaries

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    Let Ω ⊂ ℂn be a bounded Lipschitz q-pseudoconvex domain that admit good weight functions. We shall prove that the canonical solution operator for the the ∂¯-equation is compact on the boundary of Ω and is bounded in the Sobolev space Wkr,s(Ω) for some values of k. Moreover, we show that the Bergman projection and the ∂¯-Neumann operator are bounded in the Sobolev space Wkr,s(Ω) for some values of k. If Ω is smooth, we shall give sufficient conditions for compactness of the ∂¯-Neumann operator.Mathematic

    The L2 ∂¯-Cauchy problem on pseudoconvex domains and applications

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    Let [Formula: see text] be a complex manifold of dimension [Formula: see text] and [Formula: see text] be a weakly pseudoconvex domain with smooth boundary in [Formula: see text]. Let [Formula: see text] be a holomorphic line bundle over [Formula: see text] which is positive on a neighborhood of [Formula: see text]. Let [Formula: see text] be the [Formula: see text]-times tensor product of [Formula: see text] for positive integer [Formula: see text]. The purpose of this paper is to study the [Formula: see text]-problem with support conditions in [Formula: see text] for forms of type [Formula: see text], [Formula: see text] with values in [Formula: see text]. Applications to the [Formula: see text]-problem for smooth forms on boundaries of [Formula: see text] are given. </jats:p

    Control of chaos in the burke-shaw system of fractal-fractional order in the sense of Caputo-Fabrizio

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    For the Burke-Shaw system, we propose a fractal-fractional order in the sense of the Caputo-Fabrizio derivative. The proposed system is solved by utilizing the fractal-fractional derivative operator with an exponential decay kernel. Time-fractional Caputo-Fabrizio fractal fractional derivatives are applied to the Burke-Shaw-type nonlinear chaotic systems.Based on fixed point theory, it has been demonstrated that a fractal-fractional-order model under the Caputo-Fabrizio operator exists and is unique. Using a numerical power series method, we solve the fractional Burke-Shaw model. Using Newton’s interpolation polynomial, we solve the equation numerically by implementing a novel numerical scheme based on an efficient polynomial
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