Stabilization and Blow-up in an Infinite Memory Wave Equation with Logarithmic Nonlinearity and Acoustic Boundary Conditions  

作　　者：PENG Qingqing ZHANG Zhifei 

机构地区：[1]School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China [2]Hubei Key Laboratory of Engineering Modeling and Scientific Computing,Huazhong University of Science and Technology,Wuhan 430074,China

出　　处：《Journal of Systems Science & Complexity》2024年第4期1368-1391,共24页系统科学与复杂性学报（英文版）

基　　金：supported by the National Science Foundation of China under Grant No.61473126。

摘　　要：In this paper,the authors consider the stabilization and blow up of the wave equation with infinite memory,logarithmic nonlinearity and acoustic boundary conditions.The authors discuss the existence of global solutions for the initial energy less than the depth of the potential well and investigate the energy decay estimates by introducing a Lyapunov function.Moreover,the authors establish the finite time blow up results of solutions and give the blow up time with upper bounded initial energy.

关 键 词：Acoustic boundary condition finite time blow-up general decay infinite memory logarithmic nonlinearity 

分 类 号：O175[理学—数学]