三维空间中广义Davey-Stewartson系统整体解存在的最佳条件

Sharp Conditions of Global Existence for the Generalized Davey-Stewartson System in Three Dimensional Space

根据基态的特征,用势井方法和凹方法证明了三维空间中广义Davey-Stewartson系统解爆破和整体存在的最佳条件．同时还证明了当初值为多小时,该系统的整体解存在．

In terms of the characteristics of the ground state, a sharp condition for blowup and global existence of the generalized Davey-Stewartson system in three dimensional spaces is derived out by applying the potential well argument and the concavity method. Meanwhile, that how small the initial data are, the existence of the global solution is also shown.