General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Wave equation general decay nonlocal damping boundary damping
• 年，卷（期）: 2019,（4）
• 页码范围: 369-380
• 页数: 12页
• 分类号: O175.27
• 语种: 英文
• DOI: 10.4208/jpde.v32.n4.6

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 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.