A general decay result for the Cauchy problem of plate equations with memory
Author:
Affiliation:
1. Department of Mathematics, University of Sharjah, Sharjah, United Arab Emirates, UAE
2. Laboratoire de Mathématiques Appliquées, Université Kasdi Merbah, BP 511, Ouargla, Algeria
Abstract
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Control and Optimization,Modeling and Simulation
Reference21 articles.
1. W. Chen and T. A. Dao, On the Cauchy problem for semilinear regularity-loss-type $\sigma$-evolution models with memory term, Nonlinear Anal. Real World Appl., 59 (2021), 103265, 26 pp.
2. C. R. da Luz, R. C. Charão.Asymptotic properties for a semilinear plate equation in unbounded domains, J. Hyperbolic Differ. Equ., 6 (2009), 269-294.
3. I. Lacheheb and S. A. Messaoudi, General decay of the Cauchy problem for a Moore-Gibson-Thompson equation with memory, Mediterr. J. Math., 18 (2021), Paper No. 171, 21 pp.
4. J. E. Lagnese, Asymptotic energy estimates for Kirchhoff plates subject to weak viscoelastic damping, Internat. Ser. Numer. Math., Birkhäuser-Verlag, Basel, 91 (1989), 211–236.
5. I. Lasiecka.Exponential decay rates for the solutions of Euler-Bernoulli equations with boundary dissipation occurring in the moments only, J. Differential Equations, 95 (1992), 169-182.
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