New energy decay for a nonlinearly damped system of wave equations

Abstract

In this paper, a nonlinearly damped system of wave equations is considered. Uniform energy decay was discussed in the previous work (Discrete Contin. Dyn. Syst. Ser. S, 2 (2009) 583–608) for if the space dimension is 3. New energy decay is proposed for by choosing appropriate multiplier related to a non‐increasing differential function. As an example, a logarithmic energy decay is also presented.