吉林大学学报（理学版）2016，Vol.54Issue(3)：457-460,4.DOI:10.13413/j.cnki.jdxblxb.2016.03.10
高初始能量下具阻尼项的 Klein-Gordon方程解的整体存在性
Global Existence of Solutions for Damped Klein-Gordon Equations with High Initial Energy
摘要
Abstract
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.关键词
Klein-Gordon 方程/高初始能量/整体存在性/稳定集/凹性方法Key words
Klein-Gordon equation/high initial energy/global existence/stable set/concavity method分类
数理科学引用本文复制引用
刘洋,许燕,达朝究..高初始能量下具阻尼项的 Klein-Gordon方程解的整体存在性[J].吉林大学学报（理学版）,2016,54(3):457-460,4.基金项目
国家自然科学基金(批准号:41465002)和中央高校基本科研业务费专项基金(批准号:31920150036 （批准号:41465002）
31920150083) （）
