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Matematicheskie Zametki, 2009, Volume 86, Issue 5, Pages 686–691
DOI: https://doi.org/10.4213/mzm8512 (Mi mzm8512) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Global Existence for a System of Weakly Coupled Nonlinear Schrödinger Equations

Ji Shu, Jian Zhang

Sichuan University, Department of Mathematics
Full-text PDF (425 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm8512
Abstract: This paper discusses the weakly coupled nonlinear Schrödinger equations in the supercritical case. With the best constant of Gagliardo–Nirenberg inequality, we derive a sufficient condition for the global existence of the solutions; this condition is expressed in terms of the stationary solutions (nonlinear ground state).
Keywords: weakly coupled nonlinear Schrödinger equations, global existence, Gagliardo–Nirenberg inequality, Cauchy problem, Laplace operator, nonlinear optics.
Received: 12.07.2008
English version:
Mathematical Notes, 2009, Volume 86, Issue 5, Pages 650–654
DOI: https://doi.org/10.1134/S0001434609110078
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: Ji Shu, Jian Zhang, “Global Existence for a System of Weakly Coupled Nonlinear Schrödinger Equations”, Mat. Zametki, 86:5 (2009), 686–691; Math. Notes, 86:5 (2009), 650–654
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v86/i5/p686
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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