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

中文翻译：

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0阶伪微分算子的谱理论及其在受迫线性波中的应用

我们将与劳尔·圣雷蒙德 (Laure Saint-Raymond) 共同撰写的论文“具有 0 次齐次哈密顿量的二维波的吸引子”的结果扩展到任何维度的受迫线性波动方程的情况。我们证明，在第 2 维，如果能量壳无穷远边界上的叶理是 Morse-Smale，我们可以应用 Mourre 理论，从而得到强制解的渐近线。我们还使用径向传播估计来表征极限施瓦茨分布的波前集。