In this article, we consider the optimal control problem governed by the wave equation in a 2- dimensional domain $\Omega_{\epsilon}$ in which the state equation and the cost functional involves highly oscillating periodic coefficients $A^\epsilon$ and $B^\epsilon$, respectively. This paper aims to examine the limiting behavior of optimal control and state and identify the limit optimal control problem, which involves the influences of the oscillating coefficients.
Optimal control problem governed by wave equation in an oscillating domain and homogenization
Luisa Faella
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2024-01-01
Abstract
In this article, we consider the optimal control problem governed by the wave equation in a 2- dimensional domain $\Omega_{\epsilon}$ in which the state equation and the cost functional involves highly oscillating periodic coefficients $A^\epsilon$ and $B^\epsilon$, respectively. This paper aims to examine the limiting behavior of optimal control and state and identify the limit optimal control problem, which involves the influences of the oscillating coefficients.File in questo prodotto:
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