In this talk, we are interested in the study of a one dimensional setting of some degenerate evolution problems under boundary feedbacks. In particular, we study stabilization
of a degenerate wave equation and a system of degenerate wave equations coupled via zero
order terms. We prove optimal energy decay rate, by using a spectral approach.
The talk is a part of the following papers:
 H.Zerkouk, C. Aichi, A. Benaissa, On the stability of a degenerate wave equation under
fractional feedbacks acting on the degenerate boundary , J. Dyn. Control Syst. 28 (2022)-3,
 Indirect boundary stabilization of weakly coupled degenerate wave equations , Paper in preparation.