Results 31 to 40 of about 73,971 (227)
Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise
Journal of Function Spaces, 2018 In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.
Xiaoyao Jia, Xiaoquan Ding
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Semicontinuous maps on module varieties [PDF]
arXiv, 2023 We study semicontinuous maps on varieties of modules over finite-dimensional algebras. We prove that truncated Euler maps are upper or lower semicontinuous. This implies that $g$-vectors and $E$-invariants of modules are upper semicontinuous. We also discuss inequalities of generic values of some upper semicontinuous maps.
arxiv
Asymptotic Behavior of the Kirchhoff Type Stochastic Plate Equation on Unbounded Domains
Complexity, 2022 In this paper, we study the asymptotic behavior of solutions to the Kirchhoff type stochastic plate equation driven by additive noise defined on unbounded domains.
Xiaobin Yao, Zhang Zhang
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Ekeland's Variational Principle for Interval-valued Functions [PDF]
arXiv, 2021 In this paper, we attempt to propose Ekeland's variational principle for interval-valued functions (IVFs). To develop the variational principle, we study the concept of sequence of intervals. In the sequel, the idea of gH-semicontinuity for IVFs is explored.
arxiv
Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations
International Journal of Differential Equations, 2014 We show the normal hyperbolicity property for the equilibria of the evolution equation ∂m(r,t)/∂t=-m(r,t)+g(βJ*m(r,t)+βh), h,β≥0, and using the normal hyperbolicity property we prove the continuity (upper semicontinuity and lower semicontinuity) of the ...
Severino Horácio da Silva +2 more
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The Wu metric is not upper semicontinuous [PDF]
Proceedings of the American Mathematical Society, 2007 We give an example of a bounded pseudoconvex domain in C", the Wu metric of which (associated to the Kobayashi-Royden or the Azukawa metric) is not upper semicontinuous.
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Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation
Boundary Value Problems, 2021 In this paper, we study the local uniformly upper semicontinuity of pullback attractors for a strongly damped wave equation. In particular, under some proper assumptions, we prove that the pullback attractor { A ε ( t ) } t ∈ R $\{A_{\varepsilon }(t)\}_ ...
Yonghai Wang, Minhui Hu, Yuming Qin
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Metric characterizations of upper semicontinuity
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.
Szymon Dolecki, Stefan Rolewicz
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On separation axioms of uniform bundles and sheaves
Applied General Topology, 2004 In the context of the theory of uniform bundles in the sense of J. Dauns and K. H. Hofmann, the topology of the fiber space of a uniform bundle depends on the assumption of upper semicontinuity of its defining set of pseudometrics when composed with ...
Clara M. Neira U., Januario Varela
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Separating sets by upper semicontinuous and Darboux upper semicontinuous functions
Topology and its Applications, 2013 Abstract In this paper we characterize the pairs ( A 0 , A 1 ) and ( A − , A + ) of disjoint sets which can be separated by an upper semicontinuous function and by a Darboux upper semicontinuous function.
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