摘要
研究了二维空间中一类半线性波动方程初值问题解的渐近理论 ,在 C2 (J× R2 ) (J ={ t|0≤ t≤O(|ε|-1 ) ,ε→ 0 } )空间中讨论了其形式近似解的合理性 ,即形式近似解存在的时间阶函数为 T =O(|ε|-1 )。在文末 ,对一个特殊的扰动波方程 。
This paper deals with the asymptotic theory of initial value problems for a semilinear wave equation in two space dimensions. The validity of formal approximations on a long time scale of order |ε|-1 is discussed in the classical sense of C2 (J × R2) (J = {t|O [less-than or equal to] t [less-than or equal to] O(|ε|-1), ε -> 0}). At the end of this paper, an application of the asymptotic theory is given to analyze a special model for a perturbed wave equation.
出处
《工程数学学报》
EI
CSCD
北大核心
2001年第1期108-112,共5页
Chinese Journal of Engineering Mathematics
基金
四川省跨世人才基金资助! (1 999- 0 9)
