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In this paper, we consider a viscoelastic plate equation with p-Laplacian u′′ + △2u − div(|∇u|p−2∇u) + σ(t) ∫ t 0 g(t − s)△u(s)ds − △u′ = 0.
By introducing suitable energy and Lyapunov functionals, we establish a general decay estimate for the energy, which depends on the behavior of both σ and g.
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참고문헌 (12)
참고문헌 신청
A. Guesmia / 2009 / General energy decay estimates of Timoshenko sys-tems with frictional versus viscoelastic damping / Math. Methods Appl. Sci 32 (16) : 2102 ~ 2122
D. Andrade / 2012 / Exponential stability for a plate equation with p-Laplacian and memory terms / Math. Methods Appl. Sci 35 (4) : 417 ~ 426
J. Y. Park / 2003 / On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities / Nonlinear Anal 55 (1-2) : 103 ~ 113
J. Y. Park / 2009 / General decay for quasilinear viscoelastic equations with nonlinear weak damping / J. Math. Phys 50 (8) : 10 ~
M. M. Cavalcanti / 2001 / Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping / Differential Integral Equations 14 (1) : 85 ~ 116
D. Andrade / 2012 / Exponential stability for a plate equation with p-Laplacian and memory terms / Math. Methods Appl. Sci 35 (4) : 417 ~ 426
J. Y. Park / 2003 / On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities / Nonlinear Anal 55 (1-2) : 103 ~ 113
J. Y. Park / 2009 / General decay for quasilinear viscoelastic equations with nonlinear weak damping / J. Math. Phys 50 (8) : 10 ~
M. M. Cavalcanti / 2001 / Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping / Differential Integral Equations 14 (1) : 85 ~ 116
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