数学杂志2012，Vol.32Issue(3)：466-474,9.
动态边界条件下一类阻尼波动方程解的研究
STUDY FOR A CLASS OF DAMPED WAVE EQUATION WITH DYNAMIC BOUNDARY CONDITIONS
摘要
Abstract
In this paper, we study the solution for a class of wave equation with damping terms and dynamic boundary conditions. Using the potential well method, by constructing stable and unstable sets, and combining energy method, we obtain the follows results. First, if the initial data are in the "stable set" , then the global solution is got, and if E(0) < d, then the energy grows exponentially. Secondly, when μ0 and E(0) satisfy certain conditions, the solution grows exponentially in Lp norm. Finally, the necessary and sufficient conditions are given for the solution blow up in finite time.关键词
动态边界条件/Nehari流形/指数衰减速率/爆破Key words
dynamic boundary conditions/ Nehari manifold/ exponential decay rate/ blow up分类
数理科学引用本文复制引用
刘盈盈,张岩,穆春来..动态边界条件下一类阻尼波动方程解的研究[J].数学杂志,2012,32(3):466-474,9.基金项目
国家自然科学基金(10771226) （10771226）
重庆大学创新人才培养工程"211第三期工程"(s-09110). （s-09110）
