Geodesic
Existence and decay of solutions to a viscoelastic plate equation
Electronic journal of differential equations, Tome 2016 (2016)
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__a30,
     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},
     year = {2016},
     volume = {2016},
     zbl = {1331.35218},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a30/}
}
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AU  - Messaoudi,  Salim A.
AU  - Mukiawa,  Soh Edwin
TI  - Existence and decay of solutions to a viscoelastic plate equation
JO  - Electronic journal of differential equations
PY  - 2016
VL  - 2016
UR  - http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a30/
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%0 Journal Article
%A Messaoudi,  Salim A.
%A Mukiawa,  Soh Edwin
%T Existence and decay of solutions to a viscoelastic plate equation
%J Electronic journal of differential equations
%D 2016
%V 2016
%U http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a30/
%G en
%F EJDE_2016__2016__a30
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__a30/