959 resultados para Non-autonomous semilinear parabolic problems


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We prove global existence of nonnegative solutions to the one dimensional degenerate parabolic problems containing a singular term. We also show the global quenching phenomena for L1 initial datums. Moreover, the free boundary problem is considered in this paper.

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In this paper, we discuss some practical implications for implementing adaptable network algorithms applied to non-stationary time series problems. Using electricity load data and training with the extended Kalman filter, we demonstrate that the dynamic model-order increment procedure of the resource allocating RBF network (RAN) is highly sensitive to the parameters of the novelty criterion. We investigate the use of system noise and forgetting factors for increasing the plasticity of the Kalman filter training algorithm, and discuss the consequences for on-line model order selection. We also find that a recently-proposed alternative novelty criterion, found to be more robust in stationary environments, does not fare so well in the non-stationary case due to the need for filter adaptability during training.

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We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent. In the first part of this work it is assumed that the coeffcients Q and h are at least continuous. Moreover Q is positive on overline Omega and lambda > 0 is a parameter. We examine the common effect of the mean curvature and the shape of the graphs of the coeffcients Q and h on the existence of low energy solutions. In the second part of this work we consider the same problem with Q replaced by - Q. In this case the problem can be supercritical and the existence results depend on integrability conditions on Q and h.

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We start by studying the existence of positive solutions for the differential equation u '' = a(x)u - g(u), with u ''(0) = u(+infinity) = 0, where a is a positive function, and g is a power or a bounded function. In other words, we are concerned with even positive homoclinics of the differential equation. The main motivation is to check that some well-known results concerning the existence of homoclinics for the autonomous case (where a is constant) are also true for the non-autonomous equation. This also motivates us to study the analogous fourth-order boundary value problem {u((4)) - cu '' + a(x)u = vertical bar u vertical bar(p-1)u u'(0) = u'''(0) = 0, u(+infinity) = u'(+infinity) = 0 for which we also find nontrivial (and, in some instances, positive) solutions.

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This paper presents an algorithm to efficiently generate the state-space of systems specified using the IOPT Petri-net modeling formalism. IOPT nets are a non-autonomous Petri-net class, based on Place-Transition nets with an extended set of features designed to allow the rapid prototyping and synthesis of system controllers through an existing hardware-software co-design framework. To obtain coherent and deterministic operation, IOPT nets use a maximal-step execution semantics where, in a single execution step, all enabled transitions will fire simultaneously. This fact increases the resulting state-space complexity and can cause an arc "explosion" effect. Real-world applications, with several million states, will reach a higher order of magnitude number of arcs, leading to the need for high performance state-space generator algorithms. The proposed algorithm applies a compilation approach to read a PNML file containing one IOPT model and automatically generate an optimized C program to calculate the corresponding state-space.

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7 th International Conference of Education, Research and Innovation (ICERI2014 Proceedings), Seville, Spain, 17-19 November 2014.

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We apply kneading theory to describe the knots and links generated by the iteration of renormalizable nonautonomous dynamical systems with reducible kneading invariants, in terms of the links corresponding to each factor. As a consequence we obtain explicit formulas for the genus for this kind of knots and links.

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No presente Relatório apresenta-se o Projeto “No Encontro Comigo e Com os Outros”, desenvolvido com um grupo de mães de pessoas com deficiência intelectual. Este Projeto propõe uma resposta de apoio e de partilha num grupo de mães, visando o estabelecimento de relações em grupo, para que se reflita de forma autónoma nos problemas comuns. Desta forma, este Projeto, para além de propor encontros de apoio emocional, aponta para o envolvimento das mães nas atividades institucionais da Associação que os filhos frequentam. Os desafios colocados às famílias com filhos com deficiência fundamentaram o desenvolvimento de um Projeto em Educação e Intervenção Social, enquanto promotor de reflexão e de autonomia. Neste sentido, todo o Projeto posicionou-se, metodologicamente, na Investigação Ação-Participativa, onde, com as pessoas, se recolheu e analisou toda a informação que conduzia aos problemas e necessidades evidenciados. A finalidade deste projeto, e todos os objetivos propostos, foram, assim, ao encontro dos problemas e necessidades priorizados pelos intervenientes, propondo-se, a partir de um conjunto de ações, alcançar uma nova realidade. Desta forma, os resultados obtidos com o Projeto foram satisfatórios, por ter contribuído para o estabelecimento de laços entre as mães, por ter fomentando a partilha e a reflexão acerca dos problemas vivenciados e por ter envolvido as mesmas nos processos institucionais. Deficiência, Família, Grupo de Apoio, Partilha, Relação.

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Tese de Doutoramento em Ciências da Comunicação (Especialidade em Teoria da Cultura)

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Résumé : La voie de signalisation Notch est essentielle pour la différentiation de l'épiderme lors du développement embryonnaire de la peau. Il a été démontré que l'inactivation de Notch1 dans la peau de souris conduit à une hyperplasie de l'épiderme ainsi qu'à la formation subséquente de carcinomes basocellulaires ainsi que de plaques cornéennes. L'inactivation de Notch1 dans la cornée combinée à des lésions mécaniques démontre que les cellules progénitrices de la cornée se différentient en un épithélium hyperplasique et kératinisé comme la peau. Ce changement de destinée cellulaire conduit à une cécité cornéenne et implique des processus non-autonomes aux cellules épithéliales, caractérisés par la sécrétion de FGF-2 par l'épithélium Notch1-/- suivi d'une vascularisation et d'un remaniement du stroma sous-jacent. La déficience en vitamine A est connu comme cause de lésions cornéennes humaines (xérophtalmie sévère). En accord, nous avons trouvé que la signalisation Notch1 était liée au métabolisme de la vitamine A par la régulation de l'expression de CRBP1, nécessaire pour générer un pool de rétinol intracellulaire. La perte de Notch1 dans l'épiderme, l'autre récepteur de la famille présent dans la peau marine, ne conduit pas à un phénotype manifeste. Cependant, l'inactivation dans l'épiderme de Notch1 et Notch2 ensemble, ou de RBP-J, induit une dermatite atopique (DA) sévère chez les souris. De même, les patients souffrants de DA mais pas ceux souffrant de psoriasis ou de lichen plan, ont une réduction marquée de l'expression des récepteurs Notch dans la peau. La perte de Notch dans les keratinocytes conduit à une activation de la voie NF-κB, ce qui ensuite induit la production de TSLP, une cytokine profondément impliquée dans la pathogenèse de la DA. Nous démontrons génétiquement que TSLP est responsable de la DA ainsi que du développent d'un syndrome myéloprolifératif non-autonome aux cellules induit par le G-CSF. Cependant, ces souris avec une inactivation dans l'épiderme de Notch1 et Notch2 et aussi incapables de répondre au TSLP développent des tumeurs invasive sévères caractérisées par une haute activité de signalisation ß-catenin. TSLPR est identifié comme un potentiel suppresseur de tumeur non-autonome aux cellules tumorales; la transplantation de cellules hématopoïétiques TSLPR-/- dans des souris déficientes pour Notch est suffisant pour causer des tumeurs. Summary : The Notch pathway is essential for proper epidermal differentiation during embryonic skin development. It has previously been demonstrated that Notch1 inactivation in marine skin results in epidermal hyperplasia and subsequent formation of basal cell carcinoma-like (BCC-like) tumors as well as corneal plaques. Inducible ablation of Notch1 in the cornea combined with mechanical wounding show that Notch1 deficient corneal progenitor cells differentiate into a hyperplasic, keratinized, skin-like epithelium. This cell fate switch leads to corneal blindness and involves cell non-autonomous processes, characterized by secretion of FGF-2 through Notch1-/- epithelium followed by vascularisation and remodelling of the underlying stroma. Vitamin A deficiency is known to induce a similar corneal defect in humans (severe xerophthalmia). Accordingly, we found that Notch1 signaling is linked to vitamin A metabolism by regulating the expression of CRBP1, required to generate a pool of intracellular retinol. Epidermal loss of Notch2, the other Notch receptor present in marine skin, doesn't lead to any overt phenotypes. However, postnatal epidermis-specific inactivation of both Notch1 and Notch2, or of RBP-J, induces the development of a severe form of atopic dermatitis (AD) in mice. Likewise, patients suffering from AD, but not psoriasis or lichen planas, have a marked reduction of Notch receptor expression in the skin. Loss of Notch in keratinocytes leads to an activation of NF-κB signaling which in turn induces the production of Thymic stromal lymphopoietin (TSLP), a cytokine deeply implicated in the pathogenesis of AD. We genetically demonstrate that TSLP is responsible for AD as well as the development of a cell non-autonomous G-CSF induced myeloproliferative disorder (MPD) in mice. However, these mice with conditional epidermal inactivation of Notch1 and Notch2 as well as incapable to respond to TSLP develop severe invasive tumors characterized by high ß-catenin signaling activity. TSLPR is identified as a potential cell non-autonomous tumor suppressor; transplantation of TSLPR-/- hematopoietic cells into epidermal Notch deficient mice is sufficient to cause tumors.

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Transposable elements, as major components of most eukaryotic organisms' genomes, define their structural organization and plasticity. They supply host genomes with functional elements, for example, binding sites of the pleiotropic master transcription factor p53 were identified in LINE1, Alu and LTR repeats in the human genome. Similarly, in this report we reveal the role of zebrafish (Danio rerio) EnSpmN6_DR non-autonomous DNA transposon in shaping the repertoire of the p53 target genes. The multiple copies of EnSpmN6_DR and their embedded p53 responsive elements drive in several instances p53-dependent transcriptional modulation of the adjacent gene, whose human orthologs were frequently previously annotated as p53 targets. These transposons define predominantly a set of target genes whose human orthologs contribute to neuronal morphogenesis, axonogenesis, synaptic transmission and the regulation of programmed cell death. Consistent with these biological functions the orthologs of the EnSpmN6_DR-colonized loci are enriched for genes expressed in the amygdala, the hippocampus and the brain cortex. Our data pinpoint a remarkable example of convergent evolution: the exaptation of lineage-specific transposons to shape p53-regulated neuronal morphogenesis-related pathways in both a hominid and a teleost fish.

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The multiscale finite-volume (MSFV) method is designed to reduce the computational cost of elliptic and parabolic problems with highly heterogeneous anisotropic coefficients. The reduction is achieved by splitting the original global problem into a set of local problems (with approximate local boundary conditions) coupled by a coarse global problem. It has been shown recently that the numerical errors in MSFV results can be reduced systematically with an iterative procedure that provides a conservative velocity field after any iteration step. The iterative MSFV (i-MSFV) method can be obtained with an improved (smoothed) multiscale solution to enhance the localization conditions, with a Krylov subspace method [e.g., the generalized-minimal-residual (GMRES) algorithm] preconditioned by the MSFV system, or with a combination of both. In a multiphase-flow system, a balance between accuracy and computational efficiency should be achieved by finding a minimum number of i-MSFV iterations (on pressure), which is necessary to achieve the desired accuracy in the saturation solution. In this work, we extend the i-MSFV method to sequential implicit simulation of time-dependent problems. To control the error of the coupled saturation/pressure system, we analyze the transport error caused by an approximate velocity field. We then propose an error-control strategy on the basis of the residual of the pressure equation. At the beginning of simulation, the pressure solution is iterated until a specified accuracy is achieved. To minimize the number of iterations in a multiphase-flow problem, the solution at the previous timestep is used to improve the localization assumption at the current timestep. Additional iterations are used only when the residual becomes larger than a specified threshold value. Numerical results show that only a few iterations on average are necessary to improve the MSFV results significantly, even for very challenging problems. Therefore, the proposed adaptive strategy yields efficient and accurate simulation of multiphase flow in heterogeneous porous media.

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BACKGROUND: The Notch pathway is essential for proper epidermal differentiation during embryonic skin development. Moreover, skin specific loss of Notch signaling in the embryo results in skin barrier defects accompanied by a B-lymphoproliferative disease. However, much less is known about the consequences of loss of Notch signaling after birth. METHODOLOGY AND PRINCIPAL FINDINGS: To study the function of Notch signaling in the skin of adult mice, we made use of a series of conditional gene targeted mice that allow inactivation of several components of the Notch signaling pathway specifically in the skin. We demonstrate that skin-specific inactivation of Notch1 and Notch2 simultaneously, or RBP-J, induces the development of a severe form of atopic dermatitis (AD), characterized by acanthosis, spongiosis and hyperkeratosis, as well as a massive dermal infiltration of eosinophils and mast cells. Likewise, patients suffering from AD, but not psoriasis or lichen planus, have a marked reduction of Notch receptor expression in the skin. Loss of Notch in keratinocytes induces the production of thymic stromal lymphopoietin (TSLP), a cytokine deeply implicated in the pathogenesis of AD. The AD-like associated inflammation is accompanied by a myeloproliferative disorder (MPD) characterized by an increase in immature myeloid populations in the bone marrow and spleen. Transplantation studies revealed that the MPD is cell non-autonomous and caused by dramatic microenvironmental alterations. Genetic studies demontrated that G-CSF mediates the MPD as well as changes in the bone marrow microenvironment leading to osteopenia. SIGNIFICANCE: Our data demonstrate a critical role for Notch in repressing TSLP production in keratinocytes, thereby maintaining integrity of the skin and the hematopoietic system.

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We study the existence of periodic solutions of the non--autonomous periodic Lyness' recurrence u_{n+2}=(a_n+u_{n+1})/u_n, where {a_n} is a cycle with positive values a,b and with positive initial conditions. It is known that for a=b=1 all the sequences generated by this recurrence are 5-periodic. We prove that for each pair (a,b) different from (1,1) there are infinitely many initial conditions giving rise to periodic sequences, and that the family of recurrences have almost all the even periods. If a is not equal to b, then any odd period, except 1, appears.

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This article shows that, in spite of its great steps towards reality, new-Keynesian macroeconomics seems to be a non-systematic construction with problems originated from "ad hoc" hypothesis required to explain the non neutrality of money and the existence of disequilibria in the short run. In particular, it seems that prices and wages rigidities stand in sandy bases and that the derivation of the IS and LM curves from neoclassical fundamentals is problematic. Even disregarding the apparent difficulties of the neoclassical theory of value and distribution, the new-Keynesian connections between interest rate, money, and output do not seem fully consistent.