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

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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.

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Authors and Affiliations

  1. School of Mathematical Science, Xuzhou Normal University, Xuzhou, 221116, Peoples’ Republic of China

    Zhong-Xue Lü, Zuhan Liu & Changcheng Yao

  2. School of Mathematics, Yangzhou University, Yangzhou, 225002, Peoples’ Republic of China

    Zuhan Liu

Authors
  1. Zhong-Xue Lü
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  2. Zuhan Liu
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  3. Changcheng Yao
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Correspondence to Zhong-Xue Lü.

Additional information

This work is supported by the Natural Science Foundation of China (No. 10771181; 11071206) and NSF of Jiangsu Province (No. BK2010172)

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Lü, ZX., Liu, Z. & Yao, C. L 2-concentration of blow-up solutions for two-coupled nonlinear Schrödinger equations with harmonic potential. Indian J Pure Appl Math 43, 49–70 (2012). https://doi.org/10.1007/s13226-012-0004-5

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  • DOI: https://doi.org/10.1007/s13226-012-0004-5

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