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Global existence and stability of the wave equation with boundary variable damping

Boulmerka Imane and Hamchi Ilhem

Mathematische Nachrichten, 2024, vol. 297, issue 8, 3064-3079

Abstract: In this paper, we present the result of global existence of solution for the wave equation with boundary variable damping term. Then, we prove that this global solution is stable. Our study is based on the semi‐groups theory and some integral inequalities.

Date: 2024
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https://doi.org/10.1002/mana.202300003

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