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Zapiski Nauchnykh Seminarov LOMI, 1977, Volume 69, Pages 3–18 (Mi znsl1978)  
A uniqueness theorem for a generalized solution of a system of two quasilinear equations in the class of bounded, measurable functions

É. B. Bykhovskii
Full-text PDF (612 kB)
Abstract: A theorem is formulated and proved regarding the uniqueness of a generalized solution of Cauchy's for a hyperbolic system consisting of two first-order quasilinear equations with one spatial variable. Admissible solutions are bounded, measurable functions satisfying an additional condition of entropy type.
English version:
Journal of Soviet Mathematics, 1978, Volume 10, Issue 1, Pages 1–11
DOI: https://doi.org/10.1007/BF01109718
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: É. B. Bykhovskii, “A uniqueness theorem for a generalized solution of a system of two quasilinear equations in the class of bounded, measurable functions”, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Zap. Nauchn. Sem. LOMI, 69, "Nauka", Leningrad. Otdel., Leningrad, 1977, 3–18; J. Soviet Math., 10:1 (1978), 1–11
Citation in format AMSBIB
\Bibitem{Byk77}
\by \'E.~B.~Bykhovskii
\paper A uniqueness theorem for a generalized solution of a system of two quasilinear equations in the class of bounded, measurable functions
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1977
\vol 69
\pages 3--18
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1978}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=606764}
\zmath{https://zbmath.org/?q=an:0388.35043|0363.35027}
\transl
\jour J. Soviet Math.
\yr 1978
\vol 10
\issue 1
\pages 1--11
\crossref{https://doi.org/10.1007/BF01109718}
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