General decay of the solution energy in a viscoelastic equation with a nonlinear source
By Salim A. Messaoudi. 2008
193 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/454efcd443074d0224f2b73f8e55a9a9a1d42b28
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In Computational Theory and Mathematics
- Wenjun Liu
- Xiaojun Wang
- B. Said-Houari
- Aissa Guesmia
- Irena Lasiecka
- Mokhtar Kirane
- Salim A. Messaoudi
- M. Al‐Gharabli
In Control and Systems Engineering
- Wenjun Liu
- Aissa Guesmia
- B. Said-Houari
- Xiaojun Wang
- Salim A. Messaoudi
- Irena Lasiecka
- Mokhtar Kirane
- M. Al‐Gharabli
In Mathematical Physics
- Wenjun Liu
- Aissa Guesmia
- B. Said-Houari
- Xiaojun Wang
- Salim A. Messaoudi
- Mokhtar Kirane
- Irena Lasiecka
- M. Al‐Gharabli
Citations in the corpus
- General decay of solutions of a nonlinear system of viscoelastic wave equations (2011, methodology): “To achieve our goal we use a Lyapunov type technique for some perturbation energy following the method introduced in [18].”
- General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback (2012, methodology): “8) Now, using Young’s inequality and (G1), we obtain (see [19])”
- Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity (2019, background): “[4] S. Berrimi and S. Messaoudi, Exponential decay of solutions to a viscoelastic equation with nonlinear localized damping, Electron.”
- Existence and asymptotic stability of a viscoelastic wave equation with a delay (2011, methodology): “Also, the second term can be estimated as follows (see [ 14 ])”
- Existence and sharp decay rate estimates for a von Karman system with long memory (2015, unknown): “This area of research was followed with a considerably large number of papers published on viscoelasticity and their asymptotic behavior quantized by decay rates obtained for the total energy: [25–28, 35–37,29,30,38,39].”
- Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory (2014, background): “t/ [7–9, 12, 18, 19, 25, 26, 32], there have been few attempts to reach the level of generality which does not require such specifications.”