四川师范大学学报（自然科学版）2011，Vol.34Issue(1)：28-33,6.DOI:10.3969/j.issn.1001-8395.2011.01.006
二维空间中一类半线性波方程整体经典解的存在性
The Existence of Global Solution for a Semi-linear Wave Equation in Two Space Dimensions
摘要
Abstract
This paper studies the initial value problem of a semi-linear wave equation in two space dimensions. When the equation has general nonlinear term, by using stepwise approximation method, the existence and uniqueness of the global solution and the life span of the local solution are obtained in the classical sense of C2 under much weak assumption.关键词
半线性波方程/整体解/生命跨度Key words
semi-linear wave equation/ global solution/ life span分类
数理科学引用本文复制引用
刘诗焕,王丹华,朱景文,赖绍永..二维空间中一类半线性波方程整体经典解的存在性[J].四川师范大学学报（自然科学版）,2011,34(1):28-33,6.基金项目
教育部留学回国人员科研基金(20078395)和江西省教育厅教改基金(JXJG-07-14-17)资助项目 （20078395）
