Acta mathematica scientia,Series A

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L2 Concentration Phenomenon of Nonlinear Schrödinger vskip Equation with a Harmonic Potential

Zhong Sijia; Fang Daoyuan   

  1. (Department of Mathematics, Zhejiang University, Hangzhou 310027)
  • Received:2006-04-10 Revised:2008-03-09 Online:2008-10-25 Published:2008-10-25

Abstract: In this paper, the authors consider the L2 concentration phenomenon of nonlinear Schrödinger equation with a harmonic potential in L2-critical case. At the same time the authors also estimate the blow up points and give a condition of global well posedness.

Key words: Schrö, dinger, Nonlinear, Potential’ Criticaldinger, Nonlinear, Potential’ Critical

CLC Number: 

  • 35B55
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