Orlicz boundedness for certain classical operators [PDF]
, 2002 Let ɸ and ψ be functions defined on [0,∞) taking the value zero at zero and with non-negative continuous derivative. Under very mild extra assumptions we find necessary and sufficient conditions for the fractional maximal operator M∞Ω, associated to an ...
Harboure, Eleonor Ofelia +2 more
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Fuzzy optimization for portfolio selection based on Embedding Theorem in Fuzzy Normed Linear Spaces
Organizacija, 2014 Background: This paper generalizes the results of Embedding problem of Fuzzy Number Space and its extension into a Fuzzy Banach Space C(Ω) × C(Ω), where C(Ω) is the set of all real-valued continuous functions on an open set Ω.
Solatikia Farnaz +2 more
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Trace de Cauchy pour certaines fonctions localement intégrables sur un ouvert borné de C [PDF]
, 2004 Let Ω be a bounded open subset of C, and let f be a distribution on Ω such that ∂f is a Radon measure of finite total mass. By means of the Cauchy transform, we introduce the "Cauchy trace" of f, which takes values in the set of analytic functionals on ...
Harlouchet, Iban
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Sharp upper bounds for a variational problem with singular perturbation [PDF]
, 2007 Let Ω be a C 2 bounded open set of and consider the functionals We prove that if , |∇ u| = 1 a.e., and ∇ u∈BV, then The new result is the Γ- lim sup ...
Conti, S, De Lellis, C
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Existence of insensitizing controls for a semilinear heat equation with a superlinear nonlinearity [PDF]
, 2004 In this paper we consider a semilinear heat equation (in a bounded domain Ω of IRN ) with a nonlinearity that has a superlinear growth at infinity. We prove the existence of a control, with support in an open set ω ⊂ Ω, that insensitizes the L2−norm ...
Bodart, Olivier +2 more
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Moderately close Neumann inclusions for the Poisson equation [PDF]
, 2018 open2siWe investigate the behavior of the solution of a mixed problem for the Poisson equation in a domain with two moderately close holes. If ϱ1 and ϱ2 are two positive parameters, we define a perforated domain Ω(ϱ1,ϱ2) by making two small perforations ...
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Controllability of the Strongly Damped Wave Equation with Impulses and Delay
Nonautonomous Dynamical Systems, 2017 Evading fixed point theorems we prove the interior approximate controllability of the following semilinear strongly damped wave equation with impulses and delay in the space Z1/2 = D((−Δ)1/2)×L2(Ω),where r > 0 is the delay, Γ = (0, τ)×Ω, ∂Γ = (0, τ ...
Leiva Hugo
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Wave Front Sets with respect to the Iterates of an Operator with Constant Coefficients
Abstract and Applied Analysis, 2014 We introduce the wave front set WF*P(u) with respect to the iterates of a hypoelliptic linear partial differential operator with constant coefficients of a classical distribution u∈𝒟′(Ω) in an open set Ω in the setting of ultradifferentiable classes of ...
C. Boiti, D. Jornet, J. Juan-Huguet
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Steiner symmetry in the minimization of the first eigenvalue in problems involving the p-Laplacian [PDF]
, 2016 Let Ω ⊂ ℝN be an open bounded connected set. We consider the eigenvalue problem −Δpu = λρ|u|p−2u in Ω with homogeneous Dirichlet boundary condition, where Δp is the p-Laplacian operator and ρ is an arbitrary function that takes only two given values 0 ...
Anedda, Claudia, Cuccu, Fabrizio
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Certain invariant subspaces for operators with rich eigenvalues
International Journal of Mathematics and Mathematical Sciences, 1991 For a connected open subset Ω of the plane and n a positive integer, let Bn(Ω) be the space introduced by Cowen and Douglas. In this article we study the spectrum of restrictions of T in order to obtain more information about the invariant subspaces of T.
Karim Seddighi
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