Tayeb Lakroumbe, M. Abdelli, Naima Louhibi, Mounir Bahlil
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Abstract
We consider a nonlinear Petrovsky equation in a bounded domain with a strong dissipation, and prove the existence and the uniqueness of the solution using the energy method combined with the Faedo-Galerkin procedure under certain assumptions. Furthermore, we study the asymptotic behaviour of the solutions using a perturbed energy method.
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