Schrodinger方程初值问题整体解与Blow－up

Global Existence Versus Blow-up of Solutions of Cauchy Problem of Schrodinger Equations

介绍了线性Ｓｃｈｒｏｄｉｎｇｅｒ方程初值问题的整体解的存在性与光滑性，证明了非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程的初值问题在不同条件下整体解存在或Ｂｌｏｗ－ｕｐ。

This paper discusses the existence and the smooth of the global solutions of the cauchy problem of linear Schrodinger equations, proves the global existence or Blowup of the solutions of the Cauchy problem of nonlinear Schrodinger equations under different conditions.