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Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term
Authors:Faouzia Aloui  Alain Haraux
Affiliation:1. UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis Lions, F-75005, Paris, France;2. CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, Boîte courrier 187, 75252 Paris Cedex 05, France
Abstract:We establish a precise estimate of the ultimate bound of solutions to some second order evolution equations with possibly unbounded linear damping and bounded forcing term.
Keywords:Second order equation   Bounded forcing term   Ultimate boundedness
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