Spatial Asymptotic Properties of a System Wave Equations with Nonlinear Damping and Source Terms

作     者：LI Yuan-fei 李远飞

作者机构：Department of Apllied MathematicsHuashang College Guangdong University of Finance&EconomicsGuangzhou 511300China 

出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)

年 卷 期：2021年第36卷第1期

页      面：67-78页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by Innovation Team Project of Humanities and Social Sciences in Colleges and Universities of Guangdong Province(Grant No.2020WCXTD008) Natural Sciences Key Projects of Universities in Guangdong Province(Grant No.2019KZDXM042) 

主　　题：Wave equation Energy analysis Semi-infinite cylinder Spatial asymptotic properties 

摘      要：In this paper,the wave equation defined in a semi-infinite cylinder is considered,in which the nonlinear damping and source terms is *** setting an arbitrary parameter greater than zero in the energy expression,the fast growth rate or decay rate of the solution with spatial variables is obtained by using energy analysis method and differential inequality ***,we obtain the asymptotic behavior of the solution on the external domain of the *** addition,in this paper we also give some useful remarks which show that our results can be extended to more models.