STABILITY FOR A VISCOELASTIC PLATE EQUATION WITH p-LAPLACIAN

Title & Authors
STABILITY FOR A VISCOELASTIC PLATE EQUATION WITH p-LAPLACIAN
Park, Sun Hye;

Abstract
In this paper, we consider a viscoelastic plate equation with p-Laplacian $\small{u^{{\prime}{\prime}}+{\Delta}^2u-div({\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)+{\sigma}(t){\int}_{0}^{t}g(t-s){\Delta}u(s)ds-{\Delta}u^{\prime}=0}$. By introducing suitable energy and Lyapunov functionals, we establish a general decay estimate for the energy, which depends on the behavior of both $\small{{\sigma}}$ and g.
Keywords
plate equation;p-laplacian;weak viscoelasticity;general decay;
Language
English
Cited by
1.
General decay for weak viscoelastic Kirchhoff plate equations with delay boundary conditions, Boundary Value Problems, 2017, 2017, 1
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