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Journal Articles Dynamics of Partial Differential Equations Year : 2023

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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Dates and versions

hal-03784384 , version 1 (23-09-2022)

Identifiers

  • HAL Id : hal-03784384 , version 1

Cite

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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