Optimal control for the infinity obstacle problem

H. Mawi; C. B. Ndiaye

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arXiv · 2007.01957

Optimal control for the infinity obstacle problem

H. Mawi·C. B. Ndiaye

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Abstract

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 $p\to\infty$.

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H. Mawi, C. B. Ndiaye. 2020-07-03. Optimal control for the infinity obstacle problem. https://arxiv.org/abs/2007.01957

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