Polynomial stability of a coupled system of wave equations
DOI:
https://doi.org/10.15381/pesquimat.v24i1.20482Keywords:
coupled system, wave equation, optimal decay rateAbstract
In this paper, we investigate the asymptotic behavior of the solutions for a coupled system of two wave equations. One of these equations is conservative and the other has frictional damping. We show that the corresponding is not exponentially stable. In this case we prove that the corresponding semigroup is polynomially stable as t-1/2 in case of Dirichlet boundary condition. Additionally, we show that the rate of decay is optimal.
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Copyright (c) 2021 Andrés Guardia Cayo, Alfonso Pérez Salvatierra
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