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Self-similar solutions of Schrödinger flows

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Abstract

In this note, we showed the existence of equivariant self-similar solutions with finite local energy for the Schrödinger flow from \({\mathbb{C}^n}\) into \({\mathbb{C}P^n}\) (n ≥ 2).

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Authors and Affiliations

  1. School of Mathematical Sciences, LMAM, Peking University and AMSS, CAS, Beijing, 100081, People’s Republic of China

    Weiyue Ding

  2. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People’s Republic of China

    Hongyan Tang

  3. School of Mathematics, Georgia Institute of Technology, Atlanta, GA, 30332-0160, USA

    Chongchun Zeng

Authors
  1. Weiyue Ding
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  2. Hongyan Tang
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  3. Chongchun Zeng
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Corresponding author

Correspondence to Hongyan Tang.

Additional information

W. Ding has been partially supported by the National Natural Science Foundation of China (No. 10621061).

H. Tang has been partially supported by the National Natural Science Foundation of China (No. 10601027).

C. Zeng has been funded in part by NSF DMS 0627842 and the Sloan Fellowship.

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Ding, W., Tang, H. & Zeng, C. Self-similar solutions of Schrödinger flows. Calc. Var. 34, 267–277 (2009). https://doi.org/10.1007/s00526-008-0198-x

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  • DOI: https://doi.org/10.1007/s00526-008-0198-x

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