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Some Hyperbolic Conservation Laws on \( {\mathbb {R}} ^{n}\)

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Abstract

In this paper, we prove the existence and the uniqueness of maximum classical solutions in the temporal variable for some quasi-linear hyperbolic systems.

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Acknowledgements

The authors thank the referee for his attentive and meticulous reading of the first version of the manuscript and for having pointed out some important references.

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Authors and Affiliations

  1. Département de Mathématiques, Faculté des sciences exactes, Université Frères Mentouri, Constantine, Algeria

    Nabila Bedida

  2. Département de Mathématiques et d’Informatique, Université Ziane Achour, Djelfa, Algeria

    Nadji Hermas

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  1. Nabila Bedida
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  2. Nadji Hermas
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Correspondence to Nadji Hermas.

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Bedida, N., Hermas, N. Some Hyperbolic Conservation Laws on \( {\mathbb {R}} ^{n}\). Mediterr. J. Math. 17, 197 (2020). https://doi.org/10.1007/s00009-020-01638-9

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  • DOI: https://doi.org/10.1007/s00009-020-01638-9

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