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Some Results on the Energy Decay of Solutions for a Wave Equation with a General Internal Feedback of Diffusive Type

  • Abbes Benaissa,
  • Abdelkader Boudaouad

摘要

In this paper, we study well-posedness and asymptotic stability of a wave equation with a general internal feedback of diffusive type. We prove that the system lacks exponential stability. Furthermore, we show an explicit and general decay rate result. The method is based on the frequency domain approach combined with multiplier technique.