Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity
Résumé
In this paper, we consider a viscoelastic plate equation with avelocity-dependent material density and a logarithmic nonlinearity. Using theFaedo-Galaerkin approximations and the multiplier method, we establish theexistence of the solutions of the problem and we prove an explicit and gen-eral decay rate result. These results extend and improve many results in theliterature.
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