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Importance sampling for stochastic reaction-diffusion equations in the moderate deviation regime. [PDF]
Stoch Partial Differ EquGasteratos I, Salins M, Spiliopoulos K.
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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 Nemytskij operators
Annali di Matematica Pura ed Applicata, 1991The authors give a growth condition on a multivalued nonlinear function \(G=G(\lambda,u)\), under which the upper semicontinuity of the function \(G(\lambda,\cdot)\) implies the upper semicontinuity of the multivalued Nemytskij operator generated by \(G\) between two Lebesgue-Bochner spaces. Similar results have been given by the reviewer, \textit{H. T.
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Upper Semicontinuous Decompositions of E 3
The Annals of Mathematics, 1957In this paper it is shown that monotone upper semicontinuous decompositions of E3 satisfying certain additional conditions have decomposition spaces which are topologically equivalent to E3. When these results were first obtained several years ago, we had some misgivings about imposing certain of these conditions since it was not known at that time ...
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Upper semicontinuity of attractors for the reaction diffusion equation
Communications in Nonlinear Science and Numerical Simulation, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Boling, Wang, Bixiang
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On upper semicontinuity of the Allen–Cahn twisted eigenvalues
Asymptotic Analysis, 2021We give an asymptotic upper bound for the kth twisted eigenvalue of the linearized Allen–Cahn operator in terms of the kth eigenvalue of the Jacobi operator, taken with respect to the minimal surface arising as the asymptotic limit of the zero sets of the Allen–Cahn critical points.
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Upper semicontinuity of parametric projections
Set-Valued Analysis, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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On the upper semicontinuity of the Hamiltonian
1981We give upper semicontinuity results for Fenchel's conjugate (with respect to v) of a function L(u,v).
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