L 2-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations with harmonic potential

Zhong-Xue Lü (), Zuhan Liu and Changcheng Yao
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Zhong-Xue Lü: Xuzhou Normal University
Zuhan Liu: Xuzhou Normal University
Changcheng Yao: Xuzhou Normal University

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 1, 49-70

Abstract: Abstract In this paper, we consider the blow-up solutions of Cauchy problem for twocoupled nonlinear Schrödinger equations with harmonic potential. We establish the lower bound of blow-up rate. Furthermore, the L 2 concentration for radially symmetric blow-up solutions is obtained.

Keywords: L 2 concentration; nonlinear Schrödinger equations; harmonic potential; Bose-Einstein condensates (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s13226-012-0004-5

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