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Blow-up of Solutions of the Cauchy Problem for a Nonlinear Schrödinger Evolution Equation

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Abstract

The solution of the Cauchy problem for a nonlinear Schrödinger evolution equation with certain initial data is proved to blow up in a finite time, which is estimated from above. Additionally, lower bounds for the blow-up rate are obtained in some norms.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan

    Sh. M. Nasibov

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  1. Sh. M. Nasibov
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Correspondence to Sh. M. Nasibov.

Additional information

Original Russian Text © Sh.M. Nasibov, 2018, published in Doklady Akademii Nauk, 2018, Vol. 483, No. 3.

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Nasibov, S.M. Blow-up of Solutions of the Cauchy Problem for a Nonlinear Schrödinger Evolution Equation. Dokl. Math. 98, 586–588 (2018). https://doi.org/10.1134/S1064562418070165

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  • DOI: https://doi.org/10.1134/S1064562418070165

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