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Izvestiya: Mathematics, 2018, Volume 82, Issue 5, Pages 1019–1075
DOI: https://doi.org/10.1070/IM8659 (Mi im8659) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the global solubility of the Cauchy problem for hyperbolic Monge–Ampére systems

D. V. Tunitsky

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
English version PDF (837 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM8659
Abstract: This paper is devoted to the global solubility of the Cauchy problem for a class of non-linear hyperbolic systems of two first-order equations with two independent variables. This class contains quasilinear systems. The problem has a unique maximal (with respect to inclusion) many-valued solution, which possesses a completeness property. Namely, characteristics of various families lying on such a solution and converging to the corresponding boundary point have infinite length.
Keywords: non-linear systems, quasilinear systems, Cauchy problem, many-valued solutions, characteristic uniformization.
Received: 24.01.2017
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2018, Volume 82, Issue 5, Pages 167–226
DOI: https://doi.org/10.4213/im8659
Bibliographic databases:
Document Type: Article
UDC: 517.956.35+517.957+514.763.8
MSC: 35L60, 35L45, 35A30
Language: English
Original paper language: Russian
Citation: D. V. Tunitsky, “On the global solubility of the Cauchy problem for hyperbolic Monge–Ampére systems”, Izv. RAN. Ser. Mat., 82:5 (2018), 167–226; Izv. Math., 82:5 (2018), 1019–1075
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM8659
  • https://www.mathnet.ru/eng/im/v82/i5/p167
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:406
    Russian version PDF:59
    English version PDF:17
    References:55
    First page:14
     
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