【摘要】 本文讨论一类具有Stark势的非线性Schrdinger方程,通过构造一个交叉强制变分问题和发展流的所谓不变流形,得到一个解爆破和整体存在的最佳准则.同时证明了驻波的不稳定性.更多还原

【Abstract】 This paper discusses a class of nonlinear Schrdinger equations with Stark potential.By constructing a cross-constrained variational problem and so-called invariant manifolds of the evolution flow,we derive a sharp criterion for blowup and global existence of the solutions.At the same time,the instability of standing wave is also given.更多还原