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Matematicheskie Zametki, 2019, Volume 105, Issue 1, Pages 76–83
DOI: https://doi.org/10.4213/mzm11559 (Mi mzm11559) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the Collapse of Solutions of the Cauchy Problem for the Cubic Schrödinger Evolution Equation

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University
Full-text PDF (420 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm11559
Abstract: It is proved that, for some initial data, the solutions of the Cauchy problem for the cubic Schrödinger evolution equation blow up in finite time whose exact value is estimated from above. In addition, lower bounds for the blow-up rate of the solution in certain norms are obtained.
Keywords: Schrödinger equation, Cauchy problem, interpolation inequality.
Received: 18.02.2017
Revised: 14.11.2017
English version:
Mathematical Notes, 2019, Volume 105, Issue 1, Pages 64–70
DOI: https://doi.org/10.1134/S0001434619010073
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: Sh. M. Nasibov, “On the Collapse of Solutions of the Cauchy Problem for the Cubic Schrödinger Evolution Equation”, Mat. Zametki, 105:1 (2019), 76–83; Math. Notes, 105:1 (2019), 64–70
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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