Global Existence and Blow-up for a Dissipative Nonlinear Schr\"{o}dinger Equation with Harmonic Potential
Received:April 14, 2005  Revised:July 03, 2006
Key Words: dissipative   nonlinear Schr\"{o}dinger equation   harmonic potential   global existence   blow up.  
Fund Project:the Scientific Research Fund of Sichuan Provincial Education Department (2006A063).
Author NameAffiliation
CHEN Guang-gan College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China 
ZHANG Jian College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China 
PU Zhi-lin College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China 
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Abstract:
      This paper is concerned with a dissipative nonlinear Schr\"{o}dinger equation with a harmonic potential. By using some intricate inequalities and the argument of priori estimates, some behaviors of the solution are investigated.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.02.012
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