On Upper Semicontinuous Functions [PDF]
Proceedings of the American Mathematical Society, 1950 T. Rado, E. J. Mickle
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Electronic Journal of Differential Equations, 2014 The existence of a pullback attractor is established for a stochastic p-Laplacian equation on $\mathbb{R}^n$. Furthermore, the limiting behavior of random attractors of the random dynamical systems as stochastic perturbations approach zero is studied ...
Jia Li, Yangrong Li, Hongyong Cui
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Structural Changes in Nonlocal Denoising Models Arising Through Bi-Level Parameter Learning. [PDF]
Appl Math Optim, 2023 Davoli E +3 more
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Existence and upper semicontinuity of global attractors for neural fields in an unbounded domain
Electronic Journal of Differential Equations, 2010 In this article, we prove the existence and upper semicontinuity of compact global attractors for the flow of the equation $$ frac{partial u(x,t)}{partial t}=-u(x,t)+ J*(fcirc u)(x,t)+ h, quad h > 0, $$ in $L^{2}$ weighted spaces.
Severino Horacio Da Silva
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Continuity of the Solution Maps for Generalized Parametric Set-Valued Ky Fan Inequality Problems
Journal of Applied Mathematics, 2012 Under new assumptions, we provide suffcient conditions for the (upper and lower) semicontinuity and continuity of the solution mappings to a class of generalized parametric set-valued Ky Fan inequality problems in linear metric space.
Z. Y. Peng, X. B. Li
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Upper semicontinuity of the dimensions of automorphism groups of domains in [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /] [PDF]
, 2003 Buma L. Fridman +2 more
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Pullback attractors and upper semicontinuity for non-autonomous extensible two-beams
Discrete and Continuous Dynamical Systems - B, 2022 M. Aouadi, Souad Guerine
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Upper Semicontinuous Collections of Continua in Class W [PDF]
Proceedings of the American Mathematical Society, 1983 A continuum is proven to be in Class W W if it can be decomposed into an upper semicontinuous collection of C C -sets, each of which is contained in Class W W , and if the upper semicontinuous decomposition space thus formed is in Class W W .
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Homogenisation of dynamical optimal transport on periodic graphs. [PDF]
Calc Var Partial Differ Equ, 2023 Gladbach P +3 more
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Upper semicontinuity of isotropy and automorphism groups
Mathematische Annalen, 1992 We prove upper semicontinuity of the isotropy subgroups and identity components of automorphism groups of taut manifolds with respect to the topology induced by a distance function on the sets of pointed taut manifolds which is defined in terms of certain extremal problems of holomorphic mappings. Namely, it is proved that given a pointed taut manifold
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