摘要
本文研究一类具阻尼非线性波动方程Cauchy问题整体广义解和整体古典解的存在唯一性,并用凸性方法给出解爆破的充分条件.
The existence and uniqueness classical solution of Cauehy problem for a term are proved. The paper arrives at some at finite time by the caneavity method. of the global generalized solution and the global class of nonlinear wave equations with damping sufficient conditions for blow-up of the solutions
出处
《应用数学》
CSCD
北大核心
2012年第2期327-334,共8页
Mathematica Applicata
基金
国家自然科学基金资助项目(10971199)
河南省教育厅资助项目(2009C110006)
关键词
具阻尼非线性波动方程
CAUCHY问题
整体解
爆破解
Nonlinear wave equation with damping term
Cauchy problem
Global solu-tion^Blow-up of the solution