ADMISSIBLE INERTIAL MANIFOLDS FOR ABSTRACT NONAUTONOMOUS THERMOELASTIC PLATE SYSTEMS
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Abstract
In this paper, we prove the existence o f admissible inertial manifolds fo r the nonautonomous thermoelastic plate systems utt — pAQ + Afu — f {t,u) ỡt + r/AO + pAut = 0 when the partial differential operator A is positive definite and self-adjoint with a discrete spectrum and the nonlinear term f satisfies <p—Lipschitz condition.