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Sbornik: Mathematics, 2017, Volume 208, Issue 8, Pages 1207–1224
DOI: https://doi.org/10.1070/SM8915 (Mi sm8915) 		 
The Cauchy problem for a first-order quasilinear equation in the class of Besicovitch almost periodic functions

E. Yu. Panov

Novgorod State University after Yaroslav the Wise
English version PDF (501 kB) Russian version article
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DOI: https://doi.org/10.1070/SM8915
Abstract: The existence and uniqueness of a generalized entropy solution in the class of Besicovitch almost periodic functions is proved for the Cauchy problem for a multidimensional inhomogeneous quasilinear equation of the first order.
Bibliography: 12 titles.
Keywords: first order quasilinear equation, generalized entropy solution, Besicovitch almost periodic function, spectrum.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-07650-а
Ministry of Education and Science of the Russian Federation 1.445.2016/1.4
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 15-01-07650-a) and the Ministry of Education and Science of the Russian Federation (project no. 1.445.2016/1.4).
Received: 20.01.2017 and 17.05.2017
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: 35B15, 35L60
Language: English
Original paper language: Russian
Citation: E. Yu. Panov, “The Cauchy problem for a first-order quasilinear equation in the class of Besicovitch almost periodic functions”, Sb. Math., 208:8 (2017), 1207–1224
Citation in format AMSBIB
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\pages 1207--1224
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