Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [PDF]
We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜ε(t) of equation ut-Δut-
Xinguang Yang +3 more
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On the upper semicontinuity of Choquet capacities [PDF]
The distribution of a random closed set \(X\) in a locally compact second countable Hausdorff space \(E\) is uniquely determined by its capacity functional \(T(K)=\mathbf{P}(X\cap K\neq\emptyset)\) for all \(K\) from the family \(\mathcal{K}\) of compact sets.
Guo Wei 0004 +3 more
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On upper semicontinuity of duality mappings [PDF]
We give new sufficient conditions for a Banach space to be an Asplund (or reflexive) space in terms of certain upper semicontinuity of the duality mapping.
Contreras, Manuel D., Payá, Rafael
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Subharmonicity without Upper Semicontinuity [PDF]
Let \(\Omega\subseteq \mathbb{R}^d\) be open and let \(x\in\Omega\). There are many probability measures \(\mu\) with compact support in \(\Omega\) which have the following property: \(u(x)\leq\int u d\mu\) for every subharmonic function \(u\) on \(\Omega\). (Such a measure is called a Jensen measure for \(x\).) Familiar examples are normalized surface
Cole, B.J, Ransford, T.J
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Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems [PDF]
We establish the upper semicontinuity of solution mappings for a class of parametric generalized vector quasiequilibrium problems. As applications, we obtain the upper semicontinuity of solution mappings to several problems, such as parametric ...
Shu-qiang Shan, Yu Han, Nan-jing Huang
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Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems [PDF]
This paper is mainly concerned with the upper semicontinuity, closedness, and the lower semicontinuity of the set-valued solution mapping for a parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction ...
Rabian Wangkeeree +2 more
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Upper Semicontinuity of Solution Maps for a Parametric Weak Vector Variational Inequality [PDF]
This paper investigates the upper semicontinuity of the solution map for a parametric weak vector variational inequality associated to a v-hemicontinuous and weakly C-pseudomonotone operator.
Z. M. Fang, S. J. Li
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Metric characterizations of upper semicontinuity [PDF]
AbstractWe characterize upper semicontinuity of multifunctions in terms of upper Hausdorff semicontinuity, measure of non compactness and active boundary. The results are applicable in optimization, theory of best approximation and in metrizability theory.
Dolecki, Szymon, Rolewicz, Stefan
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On the upper semicontinuity of the Hamiltonian [PDF]
We give upper semicontinuity results for Fenchel's conjugate (with respect to v) of a function L(u,v).
GAVIOLI, Andrea
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Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations [PDF]
We study the problem of upper semicontinuity of compact global attractors of non-autonomous dynamical systems for small perturbations. For the general nonautonomous dynamical systems, we give the conditions of upper semicontinuity of attractors for small
David N. Cheban
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