Controllability, returning waves and scattering without reverberation in 3D acoustic dynamic system

Mikhail I. Belishev, Aleksei F. Vakulenko

The dynamic acoustic scattering system is governed by the wave equation $u_{tt}-\Delta u+qu=0$ in ${\mathbb{R}}^3,-\infty <t<\infty$, with a compactly supported potential $q$ and infinite…