no. 4
Regularity of C 1 solutions of the Hamilton-Jacobi equation
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 12 (2003) no. 4, pp. 479-516. 
@article{AFST_2003_6_12_4_479_0,
     author = {Fathi, Albert},
     title = {Regularity of $C^1$ solutions of the {Hamilton-Jacobi} equation},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {479--516},
     publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
     address = {Toulouse},
     volume = {Ser. 6, 12},
     number = {4},
     year = {2003},
     mrnumber = {2060597},
     zbl = {1059.37047},
     language = {en},
     url = {http://archive.numdam.org/item/AFST_2003_6_12_4_479_0/}
}
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Fathi, Albert. Regularity of $C^1$ solutions of the Hamilton-Jacobi equation. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 12 (2003) no. 4, pp. 479-516. http://archive.numdam.org/item/AFST_2003_6_12_4_479_0/

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