@article{AIHPC_1984__1_5_325_0, author = {Barles, G.}, title = {Existence results for first order {Hamilton} {Jacobi} equations}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {325--340}, publisher = {Gauthier-Villars}, volume = {1}, number = {5}, year = {1984}, mrnumber = {779871}, zbl = {0574.70019}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1984__1_5_325_0/} }
Barles, G. Existence results for first order Hamilton Jacobi equations. Annales de l'I.H.P. Analyse non linéaire, Volume 1 (1984) no. 5, pp. 325-340. http://archive.numdam.org/item/AIHPC_1984__1_5_325_0/
[1] The Hamilton Jacobi Equation. A global Approach, Academic Press, New York, 1977. | MR | Zbl
,[2] Hamilton's theory and generalized solutions of Hamilton Jacobi equations. J. Math. Mech., t. 12, 1964, p. 939-986. | MR | Zbl
and ,[3] Some properties of viscosity solutions of Hamilton Jacobi equations. To appear in Trans. Amer. Math. Soc., 1983. | MR | Zbl
, , ,[4] Viscosity solutions of Hamilton Jacobi equations. To appear in Trans. Amer. Math. Soc., 1983. | MR | Zbl
and ,[5] The continuous dependance of generalized solutions of non linear partial differential equations upon initial data. Comm. Pure Applied Math., t. 14, 1961, p. 267-284. | MR | Zbl
,[6] The Cauchy problem for a non linear partial differential. J. Diff. equations, t. 5, 1969, p. 515-530. | MR | Zbl
,[7] Nonlinear partial differential equations-probabilistie and game theoretic method. In Problems in Nonlinear Analysis, CIME Ed. Cremonese, Roma, 1971. | MR | Zbl
,[8] The Cauchy problem for degenerate parabolic equations. J. Math. Mech., t. 13, 1964, p. 987-1008. | MR | Zbl
,[9] The Cauchy problem for first order partial differential equations. Indiana Univ. Mat. J., t. 23, 1973, p. 27-40. | MR | Zbl
,[10] Generalized solutions of Hamilton Jacobi equations of Eikonal type. I. USSR Sbornik, t. 27, 1975, p. 406-446. | Zbl
,[11] Generalized solutions of nonlinear first order equations and certain quasilinear parabolic equations Vestnik Moscow unio Ser. I. Math. Mech., t. 6, 1964, p. 67-74 (In Russian).
,[12] Generalized solutions of first order nonlinear equations in several independant variables. I. Mat. Sb., t. 70, 112, 1966, p. 394-415, II. Mat. Sb. (N. S.), t. 72, 114, 1967, p. 93-116 (in Russian). | Zbl
,[13] Generalized solutions of Hamilton Jacobi equations. Pitman London, 1982, | MR | Zbl
,[14] Existence results for first order Hamilton Jacobi equations. To appear in Ric. Mat. | MR | Zbl
,[15] Existence of viscosity solutions of Hamilton Jacobi equations. | Zbl
,