一类拟微分算子方程解的长时间存在性

The Long Time Scale Existence of Solutions for a Class of Pseudo Differential Operators

讨论一类双曲型拟微分算子方程，给出了解在长时间（０≤ｔ≤０（｜ε｜－１））内的存在唯一性，推广了Ｍ．Ｔａｙｌｏｒ（ＰｓｅｕｄｏｄｉｆｅｒｅｎｔｉａｌＯｐｅｒａｔｏｒｓ，Ｐｒｉｎｃｅｔｏｎ：ＰｒｉｎｃｅｔｏｎＵｎｉｖｅｒｓｉｔｙＰｒｅｓ。

The well posedness of long time scale (0≤t≤0(|ε| -1 )) for a class of hyperbolic pseudo differential operators is established in this paper. A result of M Taylor’s is extended (Pseudo differential Operators. Princeton:Princeton University Press,1981).