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 included.By 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 technique.Secondly,we obtain the asymptotic behavior of the solution on the external domain of the sphere.In addition,in this paper we also give some useful remarks which show that our results can be extended to more models.
作者
李远飞
LI Yuan-fei(Department of Apllied Mathematics,Huashang College Guangdong University of Finance&Economics,Guangzhou 511300,China)
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)。
