AThreshold of global existence for the critical nonlinear Gross-Pitaevskii equation

作者：Chen Guanggan^*; Zhang Jian

来源：Proceedings of the Edinburgh Mathematical Society, 2007, 50: 63-71.

DOI：10.1017/S0013091505000921

• threshold
• global existence
• blow-up
• critical
• Gross-Pitaevskii equation

This paper is concerned with the critical nonlinear Gross-Pitaevskii equation, which describes the attractive Bose-Einstein condensate under a magnetic trap. We derive a sharp threshold between the global existence and the blowing-up of the system. Furthermore, we answer the question: how small are the initial data, such that the system has global solutions for the nonlinear critical power p = 1 + (4/N)?

• 出版日期2007-2
• 单位四川师范大学