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

Abstract : 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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03784384
Contributor : Takéo Takahashi Connect in order to contact the contributor
Submitted on : Friday, September 23, 2022 - 8:50:07 AM
Last modification on : Tuesday, October 25, 2022 - 4:21:25 PM

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BadraTakahashi_2022-09.pdf
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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. 2022. ⟨hal-03784384⟩

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