On Some Quasi-Variational Inequalities and Other Problems with Moving Sets
Optimization and Control
2021-06-28 v1 Numerical Analysis
Analysis of PDEs
Numerical Analysis
Abstract
Since its introduction over 50 years ago, the concept of Mosco convergence has permeated through diverse areas of mathematics and applied sciences. These include applied analysis, the theory of partial differential equations, numerical analysis, and infinite dimensional constrained optimization, among others. In this paper we explore some of the consequences of Mosco convergence on applied problems that involve moving sets, with some historical accounts, and modern trends and features. In particular, we focus on connections with density of convex intersections, finite element approximations, quasi-variational inequalities, and impulse problems.
Cite
@article{arxiv.2106.13665,
title = {On Some Quasi-Variational Inequalities and Other Problems with Moving Sets},
author = {José-Luis Menaldi and Carlos N. Rautenberg},
journal= {arXiv preprint arXiv:2106.13665},
year = {2021}
}