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Matematicheskie Zametki, 2018, Volume 104, Issue 2, Pages 191–199
DOI: https://doi.org/10.4213/mzm11626 (Mi mzm11626) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On Locally Bounded Solutions of the Cauchy Problem for a First-Order Quasilinear Equation with Power Flux Function

L. V. Gargyantsab

a Lomonosov Moscow State University
b Bauman Moscow State Technical University
Full-text PDF (512 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11626
Abstract: For a first-order quasilinear equation with power flux function, a generalized entropy solution of the Cauchy problem with exponential initial condition is constructed. An example of a nonunique generalized entropy solution in the class of locally bounded functions of the Cauchy problem with zero initial condition is given.
Keywords: first-order quasilinear equation, generalized entropy solution, conservation law.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.3843.2017/ПЧ
Russian Foundation for Basic Research 17-01-00515
Received: 04.04.2017
Revised: 14.11.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 2, Pages 210–217
DOI: https://doi.org/10.1134/S0001434618070222
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: L. V. Gargyants, “On Locally Bounded Solutions of the Cauchy Problem for a First-Order Quasilinear Equation with Power Flux Function”, Mat. Zametki, 104:2 (2018), 191–199; Math. Notes, 104:2 (2018), 210–217
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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