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 +2 more
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Amount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and Hausdorff dimension [PDF]
, 2012 Recently, Einsiedler and the authors provided a bound in terms of escape of mass for the amount by which upper-semicontinuity for metric entropy fails for diagonal flows on homogeneous spaces $\Gamma\backslash G$, where $G$ is any connected semisimple ...
Shirali Kadyrov, Anke Pohl
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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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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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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
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Weak upper semicontinuity of pullback attractors for nonautonomous reaction-diffusion equations
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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Monotonicity and upper semicontinuity [PDF]
Bulletin of the American Mathematical Society, 1976 M. B. Suryanarayana
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A simple characterization of the existence of upper semicontinuous order-preserving functions [PDF]
, 2023 We introduce an upper semicontinuity condition concerning a not necessarily total preorder on a topological space, namely strong upper semicontinuity, and in this way we extend to the nontotal case the famous Rader’s theorem,which guarantees the ...
Gianni Bosi, Laura Franzoi
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Continuity of the fenchel correspondence and continuity of polarities [PDF]
, 1991 The polar cone of the limit inferior of a sequence of cones of a Banach space is shown to be the Cesari's limit superior of the sequence of polar cones in the bounded weak∗ topology.
Contesse, L, Penot, J.-P
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Upper Semicontinuity of Solution Maps for a Parametric Weak Vector Variational Inequality
Journal of Inequalities and Applications, 2010 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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