一维空间中半线性波方程的渐近理论及应用

The Asymptotic Theory of Semilinear Wave Equations and Its Application in One Space Dimension

研究一类具初值问题半线性波方程的渐近理论．在Ｃ２空间中得到了所给问题解的渐近合理性，并部分地回答Ｃ．Ｊ．

This paper deals with the asymptotic theory for a initial value problem of semilinear wave equations in one space dimension. A problem put forward by C. J. Blom (Time periodic solutions of some forced nonlinear wave equations. [Ph D Thesis].The Netherlands:Delff Vniversity of Technology,1994.) is partially solved in a suitable C 2 space.