Decay rates for wave systems with indirect time-space dependent damping

This paper is concerned with energy decay rates for wave systems with indirect time-space dependent damping. With the help of the method of weighted energy integral inequalities, the explicit decay rates depending on the damping coefficient are obtained. Our results are a generalization of Alabau-Boussouira, Wang, Yu(ESAIM: COCV, 23 (2017) 721–749.) in which they only discussed the space-dependent damping.