Citation:
N. S. Petrosyan, “The asymptotic behaviour of the solution to the Cauchy problem for a quasilinear first-order equation with a non-convex state function”, Russian Math. Surveys, 38:2 (1983), 194–195
\Bibitem{Pet83}
\by N.~S.~Petrosyan
\paper The asymptotic behaviour of the solution to the Cauchy problem for a~quasilinear first-order equation with a~non-convex state function
\jour Russian Math. Surveys
\yr 1983
\vol 38
\issue 2
\pages 194--195
\mathnet{http://mi.mathnet.ru/eng/rm7169}
\crossref{https://doi.org/10.1070/RM1983v038n02ABEH003479}
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\zmath{https://zbmath.org/?q=an:0561.35012}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1983RuMaS..38..194P}
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Linking options:
https://www.mathnet.ru/eng/rm7169
https://doi.org/10.1070/RM1983v038n02ABEH003479
https://www.mathnet.ru/eng/rm/v38/i2/p213
This publication is cited in the following 5 articles:
G. M. Henkin, A. A. Shananin, “Cauchy–Gelfand Problem and the Inverse Problem for a First-Order Quasilinear Equation”, Funct. Anal. Appl., 50:2 (2016), 131–142
G. M. Henkin, A. A. Shananin, “On the Cauchy–Gelfand problem”, Dokl. Math., 92:3 (2015), 731
A. V. Gasnikov, “Time-asymptotic behaviour of a solution of the Cauchy initial-value problem for a conservation law with non-linear divergent viscosity”, Izv. Math., 73:6 (2009), 1111–1148
A. V. Gasnikov, “Convergence in the form of a solution to the Cauchy problem for a quasilinear parabolic equation with a monotone initial condition to a system of waves”, Comput. Math. Math. Phys., 48:8 (2008), 1376–1405
S. N. Kruzhkov, N. S. Petrosyan, “Asymptotic behaviour of the solutions of the Cauchy problem for non-linear first order equations”, Russian Math. Surveys, 42:5 (1987), 1–47