Periodic Homogenization for Convex Functionals Using Mosco Convergence [PDF]
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Nicolas Meunier +2 more
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Mosco Convergence of Dirichlet Forms in Infinite Dimensions With Changing Reference Measures
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Alexander V. Kolesnikov
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On Multivalued Martingales Whose Values May Be Unbounded: Martingale Selectors and Mosco Convergence
Two results on the existence of martingale selections for a multivalued martingale are proved using classical properties of the projective limit of a sequence of subsets. Also, some further properties of the martingale selections are established. Finally some applications are given.
Hess, Christian
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Mosco Convergence of Gradient Forms With Non-Convex Interaction Potential [PDF]
AbstractThis article provides a new approach to address Mosco convergence of gradient-type Dirichlet forms, $${\mathcal {E}}^N$$ E N on $$L^2(E,\mu _N)$$
Grothaus, Martin, Wittmann, Simon
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Convergence of the Associated Sequence of Normal Cones of a Mosco Convergent Sequence of Sets
SIAM Journal on Optimization, 2012In 1977, Attouch established a relationship between the Mosco epiconvergence of a sequence of convex functions and the graph convergence of the associated sequence of subdifferentials, which has been found to have many important applications in optimization.
Xi Yin Zheng
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A note on Mosco convergence in spaces
Canadian Mathematical Bulletin, 2021AbstractIn this note, we show that in a complete $\operatorname {\mathrm {CAT}}(0)$ space pointwise convergence of proximal mappings under a certain normalization condition implies Mosco convergence.
openaire +1 more source
On Mosco Convergence of Diffusion Dirichlet Forms
Theory of Probability and Its Applications, 2009This 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.
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Mosco-Convergence and Wiener Measures for Conductive Thin Boundaries
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
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Models for Growth of Heterogeneous Sandpiles via Mosco Convergence [PDF]
In this paper we study the asymptotic behavior of several classes of power-law functionals involving variable exponents p n (·)→∞, via Mosco convergence. In the particular case p n (·)=np(·), we show that the sequence {H n
Mihai Gheorghe Mihailescu +1 more
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Closure of the Set of Diffusion Functionals With Respect to the Mosco-Convergence
Mathematical Models and Methods in Applied Sciences, 2002We 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
Pierre Seppecher
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