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A uniqueness theorem for the determination of sources in the Germain–Lagrange plate equation
(San Diego, 2013)
We prove a uniqueness result related to the Germain–Lagrange dynamic plate differential equation. We consider the equation {∂2u∂t2+△2u=g⊗f,in ]0,+∞)×R2,u(0)=0,∂u∂t(0)=0, where uu stands for the transverse displacement, ff ...
Exponential stability of a mildly dissipative viscoelastic plate equation with variable density
(2019-01-30)
This paper is concerned with a viscoelastic Kirchhoff plate featuring variable material density. It is modeled by the equation (Formula presented.) defined in a bounded domain of R N , where ϱ = |u t | ρ accounts for a ...
PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION
(Texas State Univ, 2011-06-20)
We consider the family of singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) - Delta u(t) + (-Delta)(2)(u) + lambda u = f(u),in a bounded domain Omega subset of R(n), with Navier boundary ...
LOWER SEMICONTINUITY of PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION
(Texas State Univ, 2012-10-28)
We show the lower semicontinuity of the family of pullback attractors for the singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) + (-Delta)u(t) + (-Delta)(2)u + lambda u = f(u),in the energy ...
LOWER SEMICONTINUITY of PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION
(Texas State Univ, 2012-10-28)
We show the lower semicontinuity of the family of pullback attractors for the singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) + (-Delta)u(t) + (-Delta)(2)u + lambda u = f(u),in the energy ...
Pullback attractors for a singularly nonautonomous plate equation
(2011-07-22)
We consider the family of singularly nonautonomous plate equation with structural damping utt + a(t, x)ut - Δut + (-Δ)2u + λu = f(u), in a bounded domain Ω ⊂ Rn, with Navier boundary conditions. When the nonlinearity f is ...
Lower semicontinuity of pullback attractors for a singularly nonautonomous plate equation
(2012-10-28)
We show the lower semicontinuity of the family of pullback attractors for the singularly nonautonomous plate equation with structural damping u tt + a(t, x)u t + (-Δ)u t + (-Δ) 2u + λu = f (u), in the energy space H 2 0(Ω) ...
PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION
(Texas State Univ, 2011-06-20)
We consider the family of singularly nonautonomous plate equation with structural dampingu(tt) + a(t, x)u(t) - Delta u(t) + (-Delta)(2)(u) + lambda u = f(u),in a bounded domain Omega subset of R(n), with Navier boundary ...
LOWER SEMICONTINUITY of PULLBACK ATTRACTORS FOR A SINGULARLY NONAUTONOMOUS PLATE EQUATION
(Texas State Univ, 2013)
Exponential stability for a plate equation with p-Laplacian and memory terms
(WILEY-BLACKWELLMALDEN, 2012)
This paper is concerned with the energy decay for a class of plate equations with memory and lower order perturbation of p-Laplacian type, utt+?2u-?pu+?0tg(t-s)?u(s)ds-?ut+f(u)=0inOXR+, with simply supported boundary ...