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Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [PDF]

The Scientific World Journal, 2014
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, Xiaosong Wang, Juntao Li, Lingrui Zhang   +3 more
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On the upper semicontinuity of the Wu metric [PDF]

Proc. Amer. Math. Soc. 133 (2005), 239-244., 2003
We discuss continuity and upper semicontinuity of the Wu pseudometric.
Marek Jarnicki, Peter Pflug
arxiv   +3 more sources

Upper semicontinuity of the lamination hull [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2017
Let  K ⊆ ℝ2×2 be a compact set, let Krc be its rank-one convex hull, and let L (K) be its lamination convex hull. It is shown that the mapping K ↦ L̅(K̅) is not upper semicontinuous on the diagonal matrices in ℝ2×2, which was a problem left by Kolář. This is followed by an example of a 5-point set of 2 × 2 symmetric matrices with non-compact lamination
Terence L. J. Harris
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Upper Semicontinuity of Attractors and Synchronization

Journal of Mathematical Analysis and Applications, 1998
AbstractIn this paper we prove that diffusively coupled abstract semilinear parabolic systems synchronize. We apply the abstract results obtained to a class of ordinary differential equations and to reaction diffusion problems. The technique consists of proving that the attractors for the coupled differential equations are upper semicontinuous with ...
Alexandre N. Carvalho, Hildebrando M. Rodrigues, Tomasz Dłotko   +2 more
openalex   +3 more sources

On the upper semicontinuity of the Wu metric [PDF]

Proceedings of the American Mathematical Society, 2004
We discuss continuity and upper semicontinuity of the Wu pseudometric.
Marek Jarnicki, Peter Pflug
openalex   +5 more sources

Upper semicontinuity of Nemytskij operators [PDF]

Annali di Matematica Pura ed Applicata, 1991
The upper semicontinuity of the Nemytskij map from Lp to Lq, associated to a multivalued map G(λ, x) upper semicontinuous in x, si proved.
Arrigo Cellina, Andrzej Fryszkowski, Tadeusz Rzeżuchowski   +2 more
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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
doaj   +2 more sources

Upper semicontinuity of uniform attractors for nonclassical diffusion equations [PDF]

Boundary Value Problems, 2017
We study the upper semicontinuity of a uniform attractor for a nonautonomous nonclassical diffusion equation with critical nonlinearity. In particular, we prove that the uniform (with respect to (w.r.t.) g ∈ Σ $g\in \Sigma $ ) attractor A Σ ε $\mathcal ...
Yonghai Wang, Pengrui Li, Yuming Qin
doaj   +2 more sources

Subharmonicity without Upper Semicontinuity

Journal of Functional Analysis, 1997
AbstractLetΩbe an open subset ofRd(d⩾2). Givenx∈Ω, a Jensenmeasureforxis a Borel probability measureμ, supported on a compact subset ofΩ, such that each subharmonic functionuonΩsatisfiesu(x)⩽∫udμ. ((*))A functionuonΩ(subject to certain measurability conditions, much weaker for example than upper semicontinuity) is calledquasi-subharmonicif it satisfies
Brian J. Cole, Thomas Ransford
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Existence and upper semicontinuity of pullback attractors for Kirchhoff wave equations in time-dependent spaces [PDF]

arXiv
In this paper, we shall investigate the existence and upper semicontinuity of pullback attractors for non-autonomous Kirchhoff wave equations with a strong damping in the time-dependent space $X_t$. After deriving the existence and uniqueness of solutions by the Faedo-Galerkin approximation method, we establish the existence of pullback attractors ...
Bin Yang, Yuming Qin, Alain Miranville, Ke Wang   +3 more
arxiv   +3 more sources