The Global Solution of Viscoelastic Thin Rectangular Plate Equation
In this paper, we consider a class of nonlinear viscoelastic plate equation with strong damping which arises from the model of the viscoelastic thin rectangular plate with four edges supported. By virtue of Faedo-Galerkin method combined with the priori estimates, we prove the existence and uniqueness of the global strong solution under certain initial-boundary data for the above-mentioned equation.
D. X. Wang and J. W. Zhang, "The Global Solution of Viscoelastic Thin Rectangular Plate Equation", Applied Mechanics and Materials, Vols. 29-32, pp. 577-582, 2010