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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