This paper studies rates of decay to equilibrium for the Becker-Döring equations with subcritical initial data. In particular, polynomial rates of decay are established when initial perturbations of equilibrium have polynomial moments. This is proved by using new dissipation estimates in polynomially weighted ` spaces, operator decomposition techniques from kinetic theory, and interpolation est...

Abstract. Under appropriate assumptions the energy of wave equations with damping and variable coefficients c(x)utt − div(b(x)∇u) + a(x)ut = h(x) has been shown to decay. Determining the rate of decay for the higher order energies involving the kth order spatial and time derivatives has been an open problem with the exception of some sparse results obtained for k = 1, 2, 3. We establish estimat...