一类非线性波动方程解的爆破  

Blowup of Solutions for a Class of Nonlinear Wave Equations

作　　者：赵丽英[1] 和凌云[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471003

出　　处：《河南科技大学学报（自然科学版）》2011年第1期75-78,121,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(50771042)

摘　　要：研究了一类具有任意耗散项的非线性波动方程的初边值问题,如果该问题整体解存在的条件不成立,则在相反条件下,利用补偿能量法给出了方程的解在有限时刻T*爆破的一个充分条件。In this paper,a class of nonlinear wave equations with arbitrary dissipative term were investigated.If the conditions guaranteeing the global existence of weak solutions are not valid,then under the opposite assumptions,a sufficient condition is obtained under which the solutions will blow up in finite time T* by an energy method.

关 键 词：解的爆破 非线性波动方程 初边值问题 整体解 

分 类 号：O175.2[理学—数学]