一类非线性波动方程初边值问题整体弱解的存在性和渐近性  

Existence and Asymptotic Behaviour of the Global Weak Solution of the Initial Boundary Value Problem for a Class of Nonlinear Wave Equation

作　　者：张金辉[1] 陈自高[1] 

机构地区：[1]华北水利水电学院,河南郑州450011

出　　处：《华北水利水电学院学报》2006年第4期110-112,共3页North China Institute of Water Conservancy and Hydroelectric Power

摘　　要：应用Galerkin和位势井相结合的方法证明了一类非线性波动方程初边值问题整体弱解的存在性、惟一性和渐近性.并利用Nakao不等式证明了整体弱解具有指数衰减的性质.By Galerkin approximation scheme combined with the potential well method, the existence and uniqueness of the global weak solution to a class of nonlinear wave equation are proved. Applying Nakao＇ s inequality, the global weak solution decayed with expoenal index are showed.

关 键 词：初边值问题 整体广义解 渐近性 

分 类 号：O175.29[理学—数学]