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Periodic homogenization for convex functionals using Mosco convergence [PDF]

Ricerche Di Matematica, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alain Damlamian, Nicolas Meunier, Jean Van Schaftingen   +2 more
exaly   +3 more sources

Mosco-convergence and Wiener measures for conductive thin boundaries

Journal of Mathematical Analysis and Applications, 2011
The main result reads as follows. Let \(R \leq \infty\) and \(F_{R}^{\epsilon}\) and \(F_{R}\) be the energy functionals defined in \(L^2(\Omega_R, d \mu^\epsilon)\) and \(L^2(\Omega_R, d \mu^\prime)\), respectively. It follows that \(F_{R}^{\epsilon}\) and \(F_{R}\) are local and regular Dirichlet forms. Assume \(R < \infty\). If \(\alpha\geq 0\) and \
Jun Masamune
exaly   +2 more sources

Models for growth of heterogeneous sandpiles via Mosco convergence [PDF]

Asymptotic Analysis, 2012
In this paper we study the asymptotic behavior of several classes of power-law functionals involving variable exponents pn(·)→∞, via Mosco convergence. In the particular case pn(·)=np(·), we show that the sequence {Hn} of functionals Hn:L2(RN)→[0,+∞] given by Hn(u)=∫RNλ(x)n/np(x)|∇u(x)|np(x) dx   if u∈L2(RN)∩W1,np(·)(RN), +∞  otherwise, converges ...
Mihai Mihailescu, Mayte Perez-Llanos
exaly   +2 more sources

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On Mosco Convergence of Diffusion Dirichlet Forms

Theory of Probability and Its Applications, 2009
This paper considers the Mosco convergence of Dirichlet forms ${\cal E}_n(f)=\int|\nabla f|^2\,d\mu_n$, where the measures $\mu_n$ locally converge in variation and it is not necessary to have complete supports.
exaly   +2 more sources

The slice topology: a viable alternative to mosco convergence in nonreflexive spaces

Nonlinear Analysis: Theory, Methods & Applications, 1992
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Gerald Beer
exaly   +4 more sources

Mosco convergence of set-valued supermartingale

Advances in Operator Theory
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M'Hamed El-Louh
exaly   +3 more sources

Well-posedness and variational, epi- and mosco convergences

, 1993
Asen L. Dontchev, T. Zolezzi
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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
openaire   +4 more sources

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.
А. А. Толстоногов
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Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures

Journal of Functional Analysis, 2005
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Alexander V. Kolesnikov
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