摘要
In this paper,we consider a nonlinear wave equation with nonlocal damping and nonlinear boundary damping.We prove a general energy decay property for solutions in terms of coefficient of the frictional boundary damping by using of the multiplier technique from the idea of Martinez[1],Our result extends and improves the result in the literature such as the work by Louredo,Ferreira de Araujo and Mi-randain[2]in which only exponential energy decay is considered.Furthermore,we get also the energy decay for the equation with nonlocal damping only but without nonlinear boundary damping.
基金
supported by National Natural Science Foundation of China(Nos.11601122,11801145)。