On a Highly Nonlinear Self-Obstacle Optimal Control Problem

Donato, Daniela Di; Mugnai, Dimitri

doi:10.1007/s00245-014-9279-8

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Cited by 3 publications

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“…Optimal control for higher order obstacle problems appears in [5] and [14]. Related works where the control variable is the obstacle are also studied in [13,21] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Optimal control for the infinity obstacle problem

Mawi

Ndiaye

2020

Preprint

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Section: Introductionmentioning

confidence: 99%

Optimal control for the infinity obstacle problem

Mawi

Ndiaye

2020

Preprint

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show abstract

Optimal Control of High-Order Elliptic Obstacle Problem

Ghanem

Nouri

2016

Appl Math Optim

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Optimal control for the infinity obstacle problem

Mawi

Ndiaye

2021

Proc. Amer. Math. Soc.

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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 p -obstacle problem to the minimal value of our optimal control problem for the ∞ \infty -obstacle problem, as p → ∞ p\to \infty .

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On a Highly Nonlinear Self-Obstacle Optimal Control Problem

Cited by 3 publications

References 20 publications

Optimal control for the infinity obstacle problem

Optimal control for the infinity obstacle problem

Optimal Control of High-Order Elliptic Obstacle Problem

Optimal control for the infinity obstacle problem

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