Decay estimates to equilibrium for some asymptotically autonomous semilinear evolution equations

Imen Ben Hassen (1)

1 Département de Mathématiques

We estimate the rate of decay of the difference between a solution and its limiting equilibrium for the nonautonomous first order problem u + Mu = g(t), t ∈ ℜ+, and for the second order problem ü+ Mu = g(t), t ∈ ℜ+, where g is a function which tends to 0 when t tends to l'∞.

Domaines: Analyse numérique [cs.NA]

Imen Ben Hassen. Decay estimates to equilibrium for some asymptotically autonomous semilinear evolution equations. 2009. ⟨hal-00392110⟩