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arXiv · 2106.02868

Qualitative properties for the 1-D Impulsive Wave Equation: Controllability and Observability

Walid Zouhair·Akram Ben Aissa
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Abstract

In this paper, we establish some important results for the impulsive wave equation. We begin by proving the existence of a solution. Then, we study the impulse approximate controllability where the control function acts on a subdomain $\omega$ and at one instant of time $\tau \in (0, T)$. Afterward, we study impulse observability

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Walid Zouhair, Akram Ben Aissa. 2021-06-05. Qualitative properties for the 1-D Impulsive Wave Equation: Controllability and Observability. https://arxiv.org/abs/2106.02868

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