Optimal control for the infinity obstacle problem

Autor:	Mawi, H., Ndiaye, C. B.
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	In this note, we show that a natural optimal control problem for the $\infty$-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 $p$-obstacle problem to the minimal value of our optimal control problem for the $\infty$-obstacle problem, as $p\to\infty$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.01957 Zobrazit plný text záznamu View this record from Arxiv