Results 31 to 40 of about 939 (135)

Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space

Abstract and Applied Analysis, Volume 2022, Issue 1, 2022., 2022
In this paper, we first introduce two new notions of uniform convexity on a geodesic space, and we prove their properties. Moreover, we reintroduce a concept of the set‐convergence in complete geodesic spaces, and we prove a relation between the metric projections and the convergence of a sequence of sets.
Yasunori Kimura, Shuta Sudo, Christopher Goodrich   +2 more
wiley   +1 more source

Graph‐like spaces approximated by discrete graphs and applications

Mathematische Nachrichten, Volume 294, Issue 11, Page 2237-2278, November 2021., 2021
Abstract We define a distance between energy forms on a graph‐like metric measure space and on a suitable discrete weighted graph using the concept of quasi‐unitary equivalence. We apply this result to metric graphs, graph‐like manifolds (e.g. a small neighbourhood of an embedded metric graph) or pcf self‐similar fractals as metric measure spaces with ...
Olaf Post, Jan Simmer
wiley   +1 more source

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
Lucio Boccardo, Chiara Leone
openalex   +4 more sources

H-compactness of elliptic operators on weighted Riemannian Manifolds [PDF]

, 2019
In this paper we study the asymptotic behavior of second-order uniformly elliptic operators on weighted Riemannian manifolds. They naturally emerge when studying spectral properties of the Laplace-Beltrami operator on families of manifolds with rapidly ...
Hoppe, Helmer, Masamune, Jun, Neukamm, Stefan   +2 more
core   +3 more sources

Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions [PDF]

We study the Mosco-convergence of Cheeger energies on Gromov-Hausdorff converging spaces satisfying different types of curvature dimension conditions. The case of functions of bounded variation is also considered. Applications to the continuity of Neumann eigenvalues are obtained. Our method, covering possibly infinite dimensional settings, is based on
Francesco Nobili, Federico Renzi, Federico Vitillaro   +2 more
openalex   +3 more sources

Closure of the set of diffusion functionals and that of elasticity with respect to Mosco-convergence

, 2002
The purpose of this thesis is to characterize all possible Mosco-limits of sequences of diffusion functionals or isotropic elasticity ones. It is a well-known fact that, when the diffusion coefficients in the scalar case, or the elasticity coefficients in the vectorial one, are not uniformly bounded, non local terms and killing terms can appear in the ...
Mohamed Camar-Eddine
  +5 more sources

Convergence and density results for parabolic quasi-linear Venttsel’ problems in fractal domains [PDF]

, 2019
In this paper we study a quasi-linear evolution equation with nonlinear dynamical boundary conditions in a three dimensional fractal cylindrical domain Q, whose lateral boundary is a fractal surface S.
Creo, Simone, Regis Durante, V.
core   +1 more source

Mosco convergence of independent particles and applications to particle systems with self-duality [PDF]

We consider a sequence of Markov processes $\lbrace X_t^n \mid n \in \mathbb{N} \rbrace$ with Dirichlet forms converging in the Mosco sense of Kuwae and Shioya to the Dirichlet form associated with a Markov process $X_t$. Under this assumption, we demonstrate that for any natural number $k$, the sequence of Dirichlet forms corresponding to the Markov ...
Mario Ayala
openalex   +3 more sources

On instability of global path properties of symmetric Dirichlet forms under Mosco-convergence [PDF]

, 2014
18 ...
Kohei SUZUKI, Toshihiro Uemura
openalex   +5 more sources

Convergence theorems for Banach space valued integrable multifunctions

International Journal of Mathematics and Mathematical Sciences, 1987
In this work we generalize a result of Kato on the pointwise behavior of a weakly convergent sequence in the Lebesgue-Bochner spaces LXP(Ω) (1≤p≤∞). Then we use that result to prove Fatou's type lemmata and dominated convergence theorems for the Aumann ...
Nikolaos S. Papageorgiou
doaj   +1 more source