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Daniel ˇ Sevˇ coviˇ c

Limiting behavior of global attractors for singularly perturbed beam equations with strong damping

Comment.Math.Univ.Carolinae 32,1 (1991) 45-60.

Abstract: The limiting behavior of global attractorsAε for singularly perturbed beam equations

ε22u

∂t2 +εδ∂u

∂t +A∂u

∂t +αAu+g(||u||21/4)A1/2u= 0

is investigated. It is shown that for any neighborhoodUofA0the setAεis included inU forεsmall.

Keywords: strongly damped beam equation, compact attractor, upper semicon- tinuity of global attractors

AMS Subject Classification: 35B40, 35Q20

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