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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 203, Number 3, Pages 342–350
DOI: https://doi.org/10.4213/tmf9859 (Mi tmf9859) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Collapse rate of solutions of the Cauchy problem for the nonlinear Schrödinger equation

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
Full-text PDF (412 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9859
Abstract: We prove that solutions of the Cauchy problem for the nonlinear Schrödinger equation with certain initial data collapse in a finite time, whose exact value we estimate from above. We obtain an estimate from below for the solution collapse rate in certain norms.
Keywords: nonlinear Schrödinger evolution equation, Cauchy problem, collapse, collapse rate, interpolation inequality.
Received: 06.12.2019
Revised: 06.12.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 203, Issue 3, Pages 726–733
DOI: https://doi.org/10.1134/S0040577920060021
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Sh. M. Nasibov, “Collapse rate of solutions of the Cauchy problem for the nonlinear Schrödinger equation”, TMF, 203:3 (2020), 342–350; Theoret. and Math. Phys., 203:3 (2020), 726–733
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf9859
  • https://doi.org/10.4213/tmf9859
  • https://www.mathnet.ru/eng/tmf/v203/i3/p342
    • This publication is cited in the following 2 articles:
    1. Sh. M. Nasibov, “On one interpolation inequality and its application to the Bürgers equatio”, Theoret. and Math. Phys., 214:2 (2023), 207–209  mathnet  crossref  crossref  mathscinet  adsnasa
    2. Sh. M. Nasibov, “Nonlinear evolutionary Schrödinger equation in the supercritical case”, Theoret. and Math. Phys., 209:3 (2021), 1683–1692  mathnet  crossref  crossref  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:53
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