Rayleigh波方程解的渐近理论

THE ASYMPTOTIC THEORY OF SOLUTIONS FOR RAYLEIGH WAVE EGUATION

对具初值问题的Ｒａｙｌｅｉｇｈ波方程，本文在Ｓｏｂｏｌｅｖ空间中给出了一个渐近方法。初值问题的适定性及形式近似解的合理性都在时间变量０≤ｔ≤０（｜ε｜－１）时成立，和结果０≤ｔ≤０（｜ε｜－１２）比较，本文的近似程度较好一些，从而在Ｓｏｂｏｌｅｖ空间Ｃ１（ＪＬ。

This paper deals with the asymptotic methods of Solutions for initial value problems of Rayleigh wave eguation.The asymptotic theory implies the well posedness of the initial value problems and the validity of formal approximations in a suitable Sobolev Space on the time scale of O(|ε| -1 ).This result is in some sense better than that of,since in the time scale is 0≤t≤0(|ε| -12 )The problem raised in about the Rayleigh wave eguation is partially answered in the Soboler space C 1(J L,H S-1 (R 1) )on the time scale O(|ε| -1 ).