Existence and stability of a damped wave equation with two delayed terms in boundary
This paper considers a linear damped wave equation with dynamic boundary conditions where two feedback terms have a delay. In bounded domain, we first establish the question of well-posedness and uniqueness of the solution for the initial-boundary value problem, using semigroup arguments in <cite>kato:67,kato:76,pazy</cite>. Next, by introducing suitable Lyapunov functionals, exponential stability estimates are obtained under conditions on the delay terms.
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