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Entropy Solutions to Differential Equations with Variable Parabolicity Direction

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We consider the first boundary value problem for an equation with variable direction of parabolicity in a bounded domain. The existence of a unique entropy solution is proved. Bibliography: 10 titles.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics SB RAS, 15, Akad. Lavrent’eva Av., Novosibirsk, 630090, Russia

    I. V. Kuznetsov

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  1. I. V. Kuznetsov
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Correspondence to I. V. Kuznetsov.

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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 12, No. 4, 2012, pp. 82–100.

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Kuznetsov, I.V. Entropy Solutions to Differential Equations with Variable Parabolicity Direction. J Math Sci 202, 91–112 (2014). https://doi.org/10.1007/s10958-014-2036-3

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  • DOI: https://doi.org/10.1007/s10958-014-2036-3

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