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Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2019

Well-posedness and asymptotic behavior of a wave equation with time delay and Neumann boundary conditions

Résumé

This paper is concerned with the asymptotic behavior analysis of solutions to a multi-dimensional wave equation. Assuming that there is no displacement term in the system and taking into consideration the presence of distributed or discrete time delay, we show that the solutions exponentially converge to their stationary state. The proof mainly consists in utilizing the resolvent method. The approach adopted in this work is also used to other physical systems.
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Dates et versions

hal-02891561 , version 1 (07-07-2020)

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Boumediène Chentouf, Aissa Guesmia. Well-posedness and asymptotic behavior of a wave equation with time delay and Neumann boundary conditions. Mathematical Methods in the Applied Sciences, 2019, ⟨10.1002/mma.5682⟩. ⟨hal-02891561⟩
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