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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 2, Pages 190–196
DOI: https://doi.org/10.4213/tmf9390 (Mi tmf9390) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Absence of global solutions of a mixed problem for a Schrödinger-type nonlinear evolution equation

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University, Baku State University, Baku, Azerbaijan
Full-text PDF (373 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf9390
Abstract: We study the problem of the absence of global solutions of the first mixed problem for one nonlinear evolution equation of Schrödinger type. We prove that global solutions of the studied problem are absent for "sufficiently large" values of the initial data.
Keywords: evolution equation, nonlinear evolution Schrödinger equation, global solution, absence of global solution.
Received: 25.04.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 2, Pages 658–664
DOI: https://doi.org/10.1134/S0040577918050021
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Sh. M. Nasibov, “Absence of global solutions of a mixed problem for a Schrödinger-type nonlinear evolution equation”, TMF, 195:2 (2018), 190–196; Theoret. and Math. Phys., 195:2 (2018), 658–664
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf9390
  • https://doi.org/10.4213/tmf9390
  • https://www.mathnet.ru/eng/tmf/v195/i2/p190
    • This publication is cited in the following 4 articles:
    1. Sh. M. Nasibov, “On the absence of global periodic solutions of a Schrödinger-type nonlinear evolution equation”, Theoret. and Math. Phys., 208:1 (2021), 912–915  mathnet  crossref  crossref  adsnasa  isi  elib
    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
    3. Sh. M. Nasibov, “Collapse rate of solutions of the Cauchy problem for the nonlinear Schrödinger equation”, Theoret. and Math. Phys., 203:3 (2020), 726–733  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. Sh. M. Nasibov, “Absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation”, Dokl. Math., 102:2 (2020), 401–402  mathnet  crossref  crossref  zmath  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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    Abstract page:419
    Full-text PDF :81
    References:65
    First page:17
     
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