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: Analyse numérique [cs.NA]

Faouzia Aloui, Alain Haraux. Sharp ultimate bounds of solutions to a class of second order linear evolution equations with bounded forcing term. 2012. ⟨hal-00717463⟩