Mosco convergence of sequences of homogeneous polynomials
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Mosco and Slice Convergence of Level Sets and Graphs of Linear Functionals
Various notions of convergence for sequences of continuous linear functionals on a normed vector space \(X\) are considered and compared. The main result states that convergence in norm is equivalent to convergence of corresponding level sets in a suitable topology for the space of closed convex subsets of \(X\).
Beer, Gerald, Borwein, Jonathan M.
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T-minima on convex sets and Mosco-convergence
Summary: Half century ago, Umberto Mosco was the ``relatore di tesi (tesi about the Mosco-convergence) di laurea'' of the first author; a quart of century ago, the first author was the ``relatore di tesi di laurea'' of the second author. The roots of this paper are the Mosco-convergence of convex sets and the minimization of integral functionals of the
Boccardo L., Leone C.
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Existence of continuous solutions to evolutionary quasi-variational inequalities with applications
The author presents dynamic elastic traffic equilibrium problems with data depending explicitly on time and studies under which assumptions the continuity of solutions with respect to the time can be ensured.
Annamaria Barbagallo
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Mosco Convergence of Gradient Forms with Non-Convex Interaction Potential
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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Unilateral problems for quasilinear operators with fractional Riesz gradients
In this work, we develop the classical theory of monotone and pseudomonotone operators in the class of convex-constrained Dirichlet-type problems involving fractional Riesz gradients in bounded and in unbounded domains Ω⊂Rd\Omega \subset {{\mathbb{R ...
Campos Pedro Miguel +1 more
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Convergence of set valued sub- and supermartingales in the Kuratowski-Mosco sense
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Li, Shoumei, Ogura, Yukio
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Dual Kadec-Klee norms and the relationships between Wijsman, slice, and Mosco convergence.
This rather comprehensive article deals with interplay between the set convergences of the title. The most principal and typical result reads: Mosco and slice convergences coincide if and only if the weak-star and norm topologies agree on the dual sphere.
Borwein, Jon, Vanderwerff, Jon
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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 \
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Structural Changes in Nonlocal Denoising Models Arising Through Bi-Level Parameter Learning. [PDF]
Davoli E +3 more
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