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On the Converse of Pansu's Theorem. [PDF]
De Philippis G+4 more
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UPPER SEMICONTINUITY OF PULLBACK ATTRACTORS FOR NON-AUTONOMOUS GENERALIZED 2D PARABOLIC EQUATIONS
Jong Yeoul Park, Sun‐Hye Park
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Importance sampling for stochastic reaction-diffusion equations in the moderate deviation regime. [PDF]
Gasteratos I, Salins M, Spiliopoulos K.
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Upper semicontinuous representations of interval orders
Mathematical Social Sciences, 2014Given an interval order on a topological space, we characterize its representability by means of a pair of upper semicontinuous real-valued functions. This characterization is only based on separability and continuity conditions related to both the interval order and one of its two traces.
BOSI, GIANNI, Zuanon M.
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Mathematical Notes of the Academy of Sciences of the USSR, 1977
It is proved that the following conditions are equivalent: the function ϕ [a, b]→R is absolutely upper semicontinuous (see [1]); ϕ is a function of bounded variation with decreasing singular part; there exists a summable function g: [a, b] → R such that for anyt′∈[a, b] andt″∈[t′, b], we have ϕ(t″)−ϕ(t′)⩽∫ t′ t″ g (s) ds.
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It is proved that the following conditions are equivalent: the function ϕ [a, b]→R is absolutely upper semicontinuous (see [1]); ϕ is a function of bounded variation with decreasing singular part; there exists a summable function g: [a, b] → R such that for anyt′∈[a, b] andt″∈[t′, b], we have ϕ(t″)−ϕ(t′)⩽∫ t′ t″ g (s) ds.
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Upper semicontinuity of joint spectra
2022This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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Upper semicontinuity of parametric projections
Set-Valued Analysis, 1996In this paper we study upper semicontinuity of the metric projection P Γ(p)(x) with respect to (x, p), where x is a point in a normed linear space X and Γ(p) is an approximatively compact subset of X depending on a parameter p. An application to parametric spline approximation is given.
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Upper semicontinuity of attractors for the reaction diffusion equation
Communications in Nonlinear Science and Numerical Simulation, 1996This paper deals with the reaction diffusion equation in domain Ω = R or Ω = (−L,L) with L < ∞ Let AL and A be the global attractor of this equation corresponding to Ω = (−L,L) and Ω = R, respectively. We show that the global attractor A is upper semicontinuity at 0 with respect to the sets {AL} in some sense.
Boling Guo, Bixiang Wang
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Upper Semicontinuity of Duality and Preduality Mappings [PDF]
In their paper studying Hausdorff weak upper semicontinuity of duality and preduality mappings on the dual of a Banach space, Godefroy and Indumathi related these by an interesting geometrical property. This property actually characterises Hausdorff upper semicontinuity of the preduality mapping.
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