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Approximate controllability of abstract nonsimple thermoelastic problem

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  • In this paper, an abstract nonsimple thermoelastic problem involving higher order gradients of displacement is considered with Dirichlet boundary conditions. We prove that the linear operator of the proposed system generates a strongly continuous semigroup which decays exponentially to zero. The optimal decay rate is determined explicitly by the physical parameters of the problem. Then we show the approximate controllability of the considered problem.
    Mathematics Subject Classification: Primary: 49K20; Secondary: 35B35.

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