General Energy Decay of Solutions for A Wave Equation with Nonlocal Nonlinear Damping and Source Ter

• 作 者: ZHANG Hong-wei LI Dong-hao HU Qing-ying
• 机 构: Department of Mathematics, Henan University of Technology, Zhengzhou 450001, China
• 出 处: 数学季刊（英文版）
• 发表日期: 2020年3期
• 关键词: Wave equation Initial boundary value problem Nonlinear nonlocal damping Energy d

We consider a wave equation with nonlocal nonlinear damping and source terms.We prove a general energy decay property for solutions by constructing a stable set and using the multiplier technique.The main difficult is how to handle with the nonlocal nonlinear damping term.Our result extends and improves the result in the literature such as the work by Jorge Silva and Narciso(Evolution Equation and Control Theory,2017(6):437-470) and Narciso (Evolution Equations and Control Theory,2020,9(2): 487-508).