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Weak solution of the Cauchy problem for a multi-dimensional quasi-linear equation

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Literature cited

  1. O. A. Oleinik, Discontinuous solutions of non-linear differential equations, Usp. Matem. Nauk,12, No. 3 (1967), pp. 3–73.

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  2. E. Conway and J. Smoller, Global solutions of the Cauchy problem for quasi-linear first order equations in several space variables, Comm. Pure and Appl. Math.,19, No. 1 (1966), pp. 95–105.

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  3. B. L. Rozhdestvenskii, A new method of solving the Cauchy problem in the large for quasi-linear equations, Dokl. Akad. Nauk SSSR,138, No. 2 (1961), pp. 309–312.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State Universit, USSR

    N. N. Kuznetsov

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  1. N. N. Kuznetsov
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Translated from Matematicheskie Zametki, Vol. 2, No. 4, pp. 401–410, October, 1967.

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Kuznetsov, N.N. Weak solution of the Cauchy problem for a multi-dimensional quasi-linear equation. Mathematical Notes of the Academy of Sciences of the USSR 2, 733–739 (1967). https://doi.org/10.1007/BF01093651

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  • DOI: https://doi.org/10.1007/BF01093651

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