Optimal Control Problems for Evolutionary Variational Inequalities with Volterra type Operators
Analysis of PDEs
2021-05-19 v1
Abstract
In this paper, we consider the optimal control problem for a class of evolution inclusions with Volterra type operators, which can be history-dependent. We establish the existence of a solution to the stated optimal control problem under some hypothesis on data-in. The motivation for this work comes from the optimal control problems for variational inequalities arising in the study of injection molding processes, contact mechanics, principles of electro-wetting on dielectric, and others.
Cite
@article{arxiv.2105.08249,
title = {Optimal Control Problems for Evolutionary Variational Inequalities with Volterra type Operators},
author = {M. Bokalo and O. Sus},
journal= {arXiv preprint arXiv:2105.08249},
year = {2021}
}