Optimal control for the infinity obstacle problem
Analysis of PDEs
2020-07-07 v1
Abstract
In this note, we show that a natural optimal control problem for the -obstacle problem admits an optimal control which is also an optimal state. Moreover, we show the convergence of the minimal value of an optimal control problem for the -obstacle problem to the minimal value of our optimal control problem for the -obstacle problem, as .
Cite
@article{arxiv.2007.01957,
title = {Optimal control for the infinity obstacle problem},
author = {H. Mawi and C. B. Ndiaye},
journal= {arXiv preprint arXiv:2007.01957},
year = {2020}
}