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We extend the results of our paper "Attractors for two dimensional waves withhomogeneous Hamiltonians of degree 0" written with Laure Saint-Raymond to thecase of forced linear wave equations in any dimension. We prove that, indimension 2,if the foliation on the boundary at infinity of the energy shell isMorse-Smale, we can apply Mourre's theory and hence get the asymptotics of theforced solution. We also characterize the wavefrontsets of the limit Schwartzdistribution using radial propagation estimates.

Spectral theory of pseudo-differential operators of degree 0 and application to forced linear waves