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A general decay result of a wave equation with a dynamic boundary control of diffusive type

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We study a wave equation with a dynamic boundary control of diffusive type. We establish optimal and explicit energy decay formula by using resolvent estimates. Our new result generalizes and… Click to show full abstract

We study a wave equation with a dynamic boundary control of diffusive type. We establish optimal and explicit energy decay formula by using resolvent estimates. Our new result generalizes and improves the earlier related results in the literature.

Keywords: boundary control; wave equation; dynamic boundary; diffusive type; equation dynamic; control diffusive

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2019

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