Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term

Faouzia Aloui (1) , Alain Haraux (1)

1 LJLL - Laboratoire Jacques-Louis Lions

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.

Domaines: Equations aux dérivées partielles [math.AP]; Analyse fonctionnelle [math.FA]

Faouzia Aloui, Alain Haraux. Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term. Journal of Functional Analysis, 2013, 265 (10), pp.2204-2225. ⟨10.1016/j.jfa.2013.07.019⟩. ⟨hal-01448228⟩