Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds
Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) no. 6, pp. 989-1008. 
@article{AIHPC_2007__24_6_989_0,
     author = {Ben-Artzi, Matania and Le Floch, Philippe G.},
     title = {Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {989--1008},
     publisher = {Elsevier},
     volume = {24},
     number = {6},
     year = {2007},
     doi = {10.1016/j.anihpc.2006.10.004},
     mrnumber = {2371116},
     zbl = {1138.35055},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2006.10.004/}
}
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Ben-Artzi, Matania; Le Floch, Philippe G. Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) no. 6, pp. 989-1008. doi : 10.1016/j.anihpc.2006.10.004. http://www.numdam.org/articles/10.1016/j.anihpc.2006.10.004/

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