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Sbornik: Mathematics, 2013, Volume 204, Issue 10, Pages 1480–1515
DOI: https://doi.org/10.1070/SM2013v204n10ABEH004346 (Mi sm8217) 		 
Renormalized entropy solutions of the Cauchy problem for a first-order inhomogeneous quasilinear equation

E. Yu. Panov

Novgorod State University after Yaroslav the Wise
English version PDF (639 kB)
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DOI: https://doi.org/10.1070/SM2013v204n10ABEH004346
Abstract: The concept of a renormalized entropy solution of the Cauchy problem for an inhomogeneous quasilinear equation of the first order is introduced. Existence and uniqueness theorems are proved, together with a comparison principle. Connections with generalized entropy solutions are investigated.
Bibliography: 10 titles.
Keywords: first-order quasilinear equations, generalized entropy solutions, comparison principle, renormalized solutions, existence and uniqueness.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00230-a
Received: 30.01.2013 and 15.05.2013
Russian version:
Matematicheskii Sbornik, 2013, Volume 204, Number 10, Pages 91–126
DOI: https://doi.org/10.4213/sm8217
Bibliographic databases:
Document Type: Article
UDC: 517.956.35
MSC: Primary 35F25, 35D30; Secondary 35B51
Language: English
Original paper language: Russian
Citation: E. Yu. Panov, “Renormalized entropy solutions of the Cauchy problem for a first-order inhomogeneous quasilinear equation”, Mat. Sb., 204:10 (2013), 91–126; Sb. Math., 204:10 (2013), 1480–1515
Citation in format AMSBIB
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    Abstract page:424
    Russian version PDF:160
    English version PDF:13
    References:82
    First page:41
     
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