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On energy stability for the coupled nonlinear Schrödinger system

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Abstract.

In this short note, we prove that smooth solutions to the coupled nonlinear Schrödinger system with coercive polynomial nonlinearities are unique among distributional solutions enjoying the energy inequality. The argument also yields the stability of classical solutions in the energy norm.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Li Ma & Lin Zhao

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  1. Li Ma
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  2. Lin Zhao
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Correspondence to Li Ma.

Additional information

The research is partially supported by the National Natural Science Foundation of China 10631020 and SRFDP 20060003002

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Ma, L., Zhao, L. On energy stability for the coupled nonlinear Schrödinger system. Z. Angew. Math. Phys. 60, 774–784 (2009). https://doi.org/10.1007/s00033-008-8008-z

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  • DOI: https://doi.org/10.1007/s00033-008-8008-z

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