103 research outputs found

    Renormalized solutions of nonlinear parabolic equations with diffuse measure data

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    Given a parabolic cylinder Omega x( 0, T), where Omega is a bounded domain of R-N, we consider IBV problems involving equations of the type b(u)(t) - Delta(p)u = mu where b is a increasing C-1-function and mu is a diffuse measure. We prove the existence and uniqueness of a renormalized solution for this class of nonlinear parabolic equations

    Existence results for a class of nonlinear parabolic equations in Orlicz spaces

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    An existence result of a renormalized solution for a class of nonlinear parabolic equations in Orlicz spaces is proved. No growth assumption is made on the nonlinearities

    Existence of a solution for a class of nonlinear parabolic systems

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    An existence result of a solution for a class of nonlinear parabolic systems is established. The data belong to L1L^1 and no growth assumption is made on the nonlinearities

    Objective Earth: environmental ethics essays - book summary

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    Translated by Pierre Madelin and Hicham-Stéphane Afeissa.There are eight essays, featuring Rolston's arguments about objective value on natural landscapes, and how this is needed, beyond resource values for people, in environmental ethics

    Retracted article: Elaboration d'un dispositif d'évaluation diagnostique de l'organisation administrative et pédagogique d'un établissement d'enseignement

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    The Guest Editors of the proceedings are issuing an editorial concern for this Article. Shortly after publication of this Article in May 2021, the Publisher was alerted by one of the authors Hicham Berbar that he never approved to be listed in the current Authors list. Furthermore, the Author points out that the published paper is a very similar copy to his 2018 PFE report defended at the “Centre de formation des inspecteurs de l’enseignement” (CFIE). The Publisher and the guest editors confirm that Hicham Berbar scientific concern should be addressed. Therefore, this article has been withdrawn from publication

    Retracted article: Elaboration d'un dispositif d'évaluation diagnostique de l'organisation administrative et pédagogique d'un établissement d'enseignement

    No full text
    The Guest Editors of the proceedings are issuing an editorial concern for this Article. Shortly after publication of this Article in May 2021, the Publisher was alerted by one of the authors Hicham Berbar that he never approved to be listed in the current Authors list. Furthermore, the Author points out that the published paper is a very similar copy to his 2018 PFE report defended at the “Centre de formation des inspecteurs de l’enseignement” (CFIE). The Publisher and the guest editors confirm that Hicham Berbar scientific concern should be addressed. Therefore, this article has been withdrawn from publication

    Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and 1 Data

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    An existence result of a renormalized solution for a class of nonlinear elliptic equations is established. The diffusion functions (,,∇) may not be in (1loc(Ω)) for a finite value of the unknown and the data belong to 1(Ω)

    Renormalized solutions for a class of nonlinear evolution problems

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    AbstractAn existence and uniqueness result of a renormalized solution for a class of doubly nonlinear evolution equations is established. The data belong toL1 and no growth assumption is made on the nonlinearities. A comparison result is also proved for such solutions

    Asymptotic behavior of solutions for parabolic problems of fractional type and sign-changing measure data

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    We prove a new asymptotic behavior result (with respect to the time variable t) of entropy solutions for fractional parabolic problems, with Dirichlet boundary at infinity, whose model is where (−∆)spu is the fractional (s, p)-Laplace operator (with ps < N, 0<s<1 and p>2− s), u0 ∈L1 (RN) and μ is a bounded, compactly supported Radon measure whose support is compactly contained in Q := (0, ∞) × RN , N ≥ 2 (not depending on time) which does not charge the sets of the fractional (s, p)-capacity
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