Results 111 to 120 of about 3,398 (121)

CLOSURE OF THE SET OF DIFFUSION FUNCTIONALS WITH RESPECT TO THE MOSCO-CONVERGENCE

Mathematical Models and Methods in Applied Sciences, 2002
We characterize the functionals which are Mosco-limits, in the L2(Ω) topology, of some sequence of functionals of the kind [Formula: see text] where Ω is a bounded domain of ℝN (N ≥ 3). It is known that this family of functionals is included in the closed set of Dirichlet forms. Here, we prove that the set of Dirichlet forms is actually the closure of
Camar-Eddine, M., Seppecher, Pierre
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Minimizers of the limit of Mosco converging functions

Archiv der Mathematik, 2005
The author gives a characterization of minimizers of a function \(f\) defined on a Banach space \(E\) which is the limit of the Moscow converging sequence \(\{f_n\}\) of lower semicontinuous functions. It is shown that any minimizer of \(f\) is a cluster point of a sequence of ``almost'' minimizers of the functions \(f_n\).
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Mosco Convergence and Large Deviations

1992
The techniques of convex analysis have come to play an increasingly important role in the theory of large deviations (see, e.g., Bahadur and Zabell, 1979; Ellis, 1985; de Acosta, 1988). The purpose of this brief note is to point out an interesting connection between a basic form of convergence commonly employed in convex analysis (“Mosco convergence”),
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Mosco convergence of integral functionals and its applications

Sbornik: Mathematics, 2009
Questions relating to the Mosco convergence of integral functionals defined on the space of square integrable functions taking values in a Hilbert space are investigated. The integrands of these functionals are time-dependent proper, convex, lower semicontinuous functions on the Hilbert space.
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Weak convergence of resolvents of maximal monotone operators and Mosco convergence

2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inverse problems in irregular domains: approximation via Mosco convergence

We consider inverse problems in an irregular domain $\Omega$ and their suitable approximations, respectively. Under suitable assumptions, after stating well-posedness results, we prove that the solutions of the approximating problems converge to the solution of the problem on $\Omega$ via Mosco convergence. We also present some applications.
Creo, Simone, Lancia, Maria, Mola, Gianluca, Romanelli, Silvia   +3 more
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Mosco convergence of closed convex subsets and resolvents of maximal monotone operators.

2003
Let \(E\) be a strictly convex, reflexive and smooth Banach space and let \(E^*\) denote its dual. The author considers a sequence of maximal monotone operators from \(E\) to \(E^*\) and defines two related sequences of resolvents on \(E\). He obtains convergence results for these resolvents.
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Well-posedness and variational, epi- and mosco convergences

1993
Asen L. Dontchev, Tullio Zolezzi
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Laws of Large Numbers for Exchangeable Random Sets in Kuratowski-Mosco Sense

Stochastic Analysis and Applications, 2006
Robert Lee Taylor
exaly  

Regularization of Monotone Variational Inequalities with Mosco Approximations of the Constraint Sets

Set-Valued and Variational Analysis, 2005
Dan Butnariu
exaly