Geodesic
Existence and decay of solutions to a viscoelastic plate equation
Electronic Journal of Differential Equations, Tome 2016 (2016).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article we study the fourth-order viscoelastic plate equation $$ u_{tt} + \Delta^{2} u -\int_0^t g(t-\tau)\Delta^2u(\tau)d\tau = 0 $$ in the bounded domain $\Omega=(0,\pi)\times(-\ell,\ell)\subset\mathbb{R}^2$ with non traditional boundary conditions. We establish the well-posedness and a decay result.
Classification : 35L35, 37B25, 34D20, 74H20, 74H25
Keywords: existence, decay, plate viscoelastic, fourth order 
@article{EJDE_2016__2016__a63,
     author = {Messaoudi, Salim A. and Mukiawa, Soh Edwin},
     title = {Existence and decay of solutions to a viscoelastic plate equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2016},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a63/}
}
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Messaoudi, Salim A.; Mukiawa, Soh Edwin. Existence and decay of solutions to a viscoelastic plate equation. Electronic Journal of Differential Equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a63/