Results 11 to 20 of about 1,404,771 (209)
On the upper semicontinuity of Choquet capacities [PDF]
International Journal of Approximate Reasoning, 2010 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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Subharmonicity without Upper Semicontinuity [PDF]
Journal of Functional Analysis, 1997 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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Metric characterizations of upper semicontinuity [PDF]
Journal of Mathematical Analysis and Applications, 1979 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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Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations [PDF]
Electronic Journal of Differential Equations, 2002 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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Stieltjes Differential Inclusions with Periodic Boundary Conditions without Upper Semicontinuity [PDF]
Mathematics, 2021 We are studying first order differential inclusions with periodic boundary conditions where the Stieltjes derivative with respect to a left-continuous non-decreasing function replaces the classical derivative.
Valeria Marraffa, Bianca Satco
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Weak upper semicontinuity of pullback attractors for nonautonomous reaction-diffusion equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider nonautonomous reaction-diffusion equations with variable exponents and large diffusion and we prove continuity of the flow and weak upper semicontinuity of a family of pullback attractors when the exponents go to $2$ in $L^\infty(\Omega)$.
Jacson Simsen
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Upper Semicontinuity of Attractors for a Non-Newtonian Fluid under Small Random Perturbations [PDF]
Abstract and Applied Analysis, 2014 This paper investigates the limiting behavior of attractors for a two-dimensional incompressible non-Newtonian fluid under small random perturbations. Under certain conditions, the upper semicontinuity of the attractors for diminishing perturbations is ...
Jianxin Luo
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Upper and weak-lower semicontinuity of pullback attractors to impulsive evolution processes
, 2021 In this paper, following the work done in [11], we deal with the upper and weak-lower semicontinuity of pullback attractors for impulsive evolution processes.
Uzal Couselo, José Manuel +1 more
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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Abstract and Applied Analysis, 2011 We present a decomposition of two topologies which characterize the upper and lower semicontinuity of the limit function to visualize their hidden and opposite roles with respect to the upper and lower semicontinuity and consequently the continuity of ...
Agata Caserta
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