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Article Dans Une Revue Dynamics of Partial Differential Equations Année : 2023

Analyticity of the semigroup corresponding to a strongly damped wave equation with a Ventcel boundary condition

Résumé

We consider a wave equation with a structural damping coupled with an undamped wave equation located at its boundary. We prove that, due to the coupling, the full system is parabolic. In order to show that the underlying operator generates an analytical semigroup, we study in particular the effect of the damping of the "interior" wave equation on the "boundary" wave equation and show that it generates a structural damping.
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hal-03784384 , version 1 (23-09-2022)

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  • HAL Id : hal-03784384 , version 1

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Mehdi Badra, Takéo Takahashi. Analyticity of the semigroup corresponding to a strongly damped wave equation with a Ventcel boundary condition. Dynamics of Partial Differential Equations, 2023. ⟨hal-03784384⟩
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