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http://dx.doi.org/10.4134/BKMS.2015.52.3.907

STABILITY FOR A VISCOELASTIC PLATE EQUATION WITH p-LAPLACIAN

Park, Sun Hye (Center for Education Accreditation Pusan National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.52, no.3, 2015 , pp. 907-914 More about this Journal

Abstract

In this paper, we consider a viscoelastic plate equation with p-Laplacian $u^{{\prime}{\prime}}+{\Delta}^2u-div({\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)+{\sigma}(t){\int}_{0}^{t}g(t-s){\Delta}u(s)ds-{\Delta}u^{\prime}=0$ . By introducing suitable energy and Lyapunov functionals, we establish a general decay estimate for the energy, which depends on the behavior of both ${\sigma}$ and g.

Keywords

plate equation; p-laplacian; weak viscoelasticity; general decay;

Citations & Related Records

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