The global attraction to stationary states is established for solutions to 3D wave equations with concentrated nonlinearities: each finite energy solution converges as \(t\rightarrow \pm \infty \) to stationary states. The attraction is caused by nonlinear energy radiation.

中文翻译：

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集中非线性波动方程对平稳状态的整体吸引。

对于具有集中非线性的3D波动方程的解，建立了对稳态的全局吸引：每个有限能量解都以\（t \ rightarrow \ pm \ infty \）收敛到稳态。吸引力是由非线性能量辐射引起的。