Energy decay of wave equations with infinite memory effects versus supercritical frictional dampings
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s11587-023-00832-7.pdf
Reference15 articles.
1. Cavalcanti, M.M., Oquendo, H.P.: Frictional versus viscoelastic damping in a semilinear wave equation. SIAM J. Control. Optim. 42, 1310–1324 (2003)
2. Conti, M., Gatti, S., Pata, V.: Uniform decay properties of linear Volterra integro-differential equations. Math. Models Methods Appl. Sci. 18, 21–45 (2008)
3. Cavalcanti, M.M., Domingos Cavalcanti, V.N., Jorge Silva, M.A., et al.: Exponential stability for the wave model with localized memory in a past history framework. J. Differ. Equ. 264, 6535–6584 (2018)
4. Conti, M., Pata, V.: General decay properties of abstract linear viscoelasticity. Z. Angew. Math. Phys. 71, 1–21 (2020)
5. Dafermos, C.M.: An abstract Volterra equation with applications to linear viscoelasticity. J. Differ. Equ. 7, 554–569 (1970)
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