摘要
采用能量方法和凹性方法研究具阻尼项的Klein-Gordon方程的Cauchy问题.通过构建稳定集并证明其不变性,得到了解的整体存在性.结果表明,高初始能量下具阻尼项的Klein-Gordon方程的解在一定条件下可以整体存在.
We studied the Cauchy problem of damped Klein-Gordon equations using the energy method and the concavity method.The global existence of solutions was obtained by constructing a stable set and proving its invariance.The results show that the solutions of damped Klein-Gordon equations with high initial energy may also exist globally under certain conditions.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2016年第3期457-460,共4页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:41465002)
中央高校基本科研业务费专项基金(批准号:31920150036
31920150083)