<p>In this work, we consider a transmission problem describing a thermoelastic plate surrounding a membrane without any mechanical damping. The main results are the failure of exponential stability for this problem and polynomial stability without the usual geometric condition.</p>

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Stability analysis for a plate-membrane system without geometric condition

  • Bienvenido Barraza Martínez,
  • Robert Denk,
  • Jonathan González Ospino,
  • Jairo Hernández Monzón

摘要

In this work, we consider a transmission problem describing a thermoelastic plate surrounding a membrane without any mechanical damping. The main results are the failure of exponential stability for this problem and polynomial stability without the usual geometric condition.