Decay estimates to equilibrium for some asymptotically autonomous semilinear evolution equations
Imen Ben Hassen · HAL (Le Centre pour la Communication Scientifique Directe) · 2009
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'∞.