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References
S. N. Kruzhkov, “First order quasilinear equations with several independent variables,” Mat. Sb.,81, No. 2, 228–255 (1970).
S. N. Kruzhkov, Nonlinear Partial Differential Equations. Part 2. First Order Equations [in Russian], Mosk. Gos. Univ., Moscow (1970).
S. N. Kruzhkov et al., “Unsolved problems of the theory of differential equations and mathematical physics,” Usp. Mat. Nauk,44, No. 4, 191–202 (1989).
B. L. Rozhdestvenskii and N. N. Yanenko, Systems of Quasilinear Equations and their Application to Gas Dynamics [in Russian], Nauka, Moscow (1978).
M. Hirsch, Differential Topology [Russian translation], Mir, Moscow (1979).
S. N. Kruzhkov, “Generalized solutions of first order nonlinear equations with several independent variables,” Mat. Sb.,70, No. 3, 394–415 (1966).
S. Schochet, “Examples of measure-valued solutions,” Comm. Part. Diff. Equat.,14, No. 5, 545–575 (1989).
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Translated from Matematicheskie Zametki, Vol. 55, No. 5, pp. 116–129, May, 1994.
In conclusion the author thanks S. N. Kruzhkov for posing the problem and interest in the work.
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Panov, E.Y. Uniqueness of the solution of the Cauchy problem for a first order quasilinear equation with one admissible strictly convex entropy. Math Notes 55, 517–525 (1994). https://doi.org/10.1007/BF02110380
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DOI: https://doi.org/10.1007/BF02110380