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

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.… Click to show full 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.

Keywords: variable damping; wave equation; global existence; equation boundary; boundary variable

Journal Title: Mathematische Nachrichten
Year Published: 2024

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