一类具一般非线性源项的波动方程解的Blow-up  

The Blow up of the Solution for Wave Equation with General.Nonlinear Source Term

作　　者：宁宝权[1] 毕迎鑫[1] 邓慧琳[1] 

机构地区：[1]六盘水师范学院数学系,贵州六盘水553004

出　　处：《数学的实践与认识》2012年第24期270-273,共4页Mathematics in Practice and Theory

基　　金：贵州省教育厅自然科学基金(黔教科2010101);六盘水师范学院科研项目(LPSSY201011);六盘水师范学院"数学教育教学团队"(LPSSYjxtd201102)阶段性成果

摘　　要：利用位势井理论和凸性方法研究了具有一般非线性源项的波动方程的解,证明了初边值问题的解在有限时间爆破.The solution of the initial and bounded valued problem for the wave equation with general nonlinear source term was discussed by potential well theory and convexity method. It is proved that the smooth solution of the problem blows up in some conditions.

关 键 词：初边值 凸性方法 位势井 Blow—up 

分 类 号：O241.82[理学—计算数学]