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Mosco convergence and reflexivity [PDF]
Proceedings of the American Mathematical Society, 1990 In this note we aim to show conclusively that Mosco convergence of convex sets and functions and the associated Mosco topology τ
Beer, Gerald, Borwein, Jonathan M.
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Mosco convergence of nonlocal to local quadratic forms [PDF]
Nonlinear Analysis, 2020 We study sequences of nonlocal quadratic forms and function spaces that are related to Markov jump processes in bounded domains with a Lipschitz boundary. Our aim is to show the convergence of these forms to local quadratic forms of gradient type. Under suitable conditions we establish the convergence in the sense of Mosco. Our framework allows bounded
Foghem Gounoue, Guy Fabrice +2 more
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Strong Law of Large Numbers of Pettis-Integrable Multifunctions
Journal of Mathematics, 2019 Using reversed martingale techniques, we prove the strong law of large numbres for independent Pettis-integrable multifunctions with convex weakly compact values in a Banach space.
Hamid Oulghazi, Fatima Ezzaki
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Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains
Calculus of Variations and Partial Differential Equations, 2022 AbstractWe find extremely general classes of nonsmooth open sets which guarantee Mosco convergence for corresponding Sobolev spaces and the validity of Sobolev inequalities with a uniform constant. An important feature of our results is that the conditions we impose on the open sets for Mosco convergence and for the Sobolev inequalities are of the same
Matteo Fornoni, Luca Rondi
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T-minima on convex sets and Mosco-convergence
Rendiconti di Matematica e delle Sue Applicazioni, 2020 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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Convergence of unbounded multivalued supermartingales in the Mosco and slice topologies [PDF]
Journal of Convex Analysis, 1997 The author considers a sequence of multivalued integrable supermartingales the values of which are supposed to be closed convex subsets of a separable Banach space. From the author's review: ``Our starting point is the Mosco-convergence result due to \textit{C. Hess} [J. Multivariate Anal. 39, No.
G. Krupa, Krupa, G.
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On instability of global path properties of symmetric Dirichlet forms under Mosco-convergence [PDF]
Osaka Journal of Mathematics, 2014 18 ...
Uemura, Toshihiro, Suzuki, Kohei
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Predict Suitable Restoration Areas for Typical Vegetation Restoration Species on the Qinghai-Tibetan Plateau Based on MaxEnt. [PDF]
Ecol EvolIt was first used in the QTP vegetation restoration species, mainly to provide a basis for species selection in different regions of the QTP now and in the future. Secondly, it calculates the ecological niche overlap and niche breadth to avoid the risk of interspecies competition, providing a basis for the combination of species.
Yang Y +6 more
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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 +3 more
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Limit for the p-laplacian equation with dynamical boundary conditions
Electronic Journal of Differential Equations, 2021 In this article we study the limit as $p\to \infty$ in the evolution problem driven by the p-Laplacian with dynamical boundary conditions. We prove that the natural energy functional associated with this problem converges to a limit in the sense of ...
Eylem Ozturk, Julio D. Rossi
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