TY - JOUR T1 - General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping AU - Li , Donghao AU - Zhang , Hongwei AU - Hu , Qingying JO - Journal of Partial Differential Equations VL - 4 SP - 369 EP - 380 PY - 2020 DA - 2020/01 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n4.6 UR - https://global-sci.org/intro/article_detail/jpde/13615.html KW - Wave equation KW - general decay KW - nonlocal damping KW - boundary damping. AB -

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 Lourêdo, Ferreira de Araújo and Mirandain [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.