丽水学院学报2016，Vol.38Issue(2)：25-29,5.DOI:10.3969/j.issn.2095-3801.2016.02.005
三维有界区域上临界半线性波动方程解的爆破问题
Blow up of Critical Semilinear Wave Equations in 3-D Domains
摘要
Abstract
In this paper,we establish blow up theorems for critical semilinear wave equations with focusing nonlinear term in 3-D bounded domains,for both Dirichlet and dissipative boundary conditions. Concavity method is used to prove the main results,which was introduced by Levine-Payne in 1970s. Also,a new auxiliary function with parameter β of exponential type is constructed,in order to guarantee that the results hold without any assumption on the initial data and initial energy.关键词
爆破/临界半线性波动方程/凹方法/辅助函数Key words
blow up/critical semilinear wave equations/concavity method/auxiliary function分类
数理科学引用本文复制引用
杨珍珍,耿金波..三维有界区域上临界半线性波动方程解的爆破问题[J].丽水学院学报,2016,38(2):25-29,5.基金项目
国家自然科学基金资助项目（11101375）；浙江省自然科学基金资助项目 （）
