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Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance

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Abstract

A lifespan estimate and sharp condition of the initial data for finite time blowup for the periodic nonlinear Schrödinger equation are presented from a viewpoint of the total signed densities of initial data.

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Authors and Affiliations

  1. Department of Pure and Applied Physics, Waseda University, 3-4-1, Okubo, Shinjuku-ku, Tokyo, 169-8555, Japan

    Kazumasa Fujiwara

  2. Department of Applied Physics, Waseda University, 3-4-1, Okubo, Shinjuku-ku, Tokyo, 169-8555, Japan

    Tohru Ozawa

Authors
  1. Kazumasa Fujiwara
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  2. Tohru Ozawa
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Correspondence to Kazumasa Fujiwara.

Additional information

The first author was partly supported by the Japan Society for the Promotion of Science and Grant-in-Aid for JSPS Fellows no \({26\cdot7371}\).

The second author was supported by Grant-in-Aid for Scientific Research (A) Number 26247014.

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Fujiwara, K., Ozawa, T. Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance. J. Evol. Equ. 17, 1023–1030 (2017). https://doi.org/10.1007/s00028-016-0364-0

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  • DOI: https://doi.org/10.1007/s00028-016-0364-0

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