@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},
year = {1984},
publisher = {Gauthier-Villars},
volume = {1},
number = {5},
mrnumber = {779871},
zbl = {0574.70019},
language = {en},
url = {https://www.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, Tome 1 (1984) no. 5, pp. 325-340. https://www.numdam.org/item/AIHPC_1984__1_5_325_0/
[1] , The Hamilton Jacobi Equation. A global Approach, Academic Press, New York, 1977. | Zbl | MR
[2] and , Hamilton's theory and generalized solutions of Hamilton Jacobi equations. J. Math. Mech., t. 12, 1964, p. 939-986. | Zbl | MR
[3] , , , Some properties of viscosity solutions of Hamilton Jacobi equations. To appear in Trans. Amer. Math. Soc., 1983. | Zbl | MR
[4] and , Viscosity solutions of Hamilton Jacobi equations. To appear in Trans. Amer. Math. Soc., 1983. | Zbl | MR
[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. | Zbl | MR
[6] , The Cauchy problem for a non linear partial differential. J. Diff. equations, t. 5, 1969, p. 515-530. | Zbl | MR
[7] , Nonlinear partial differential equations-probabilistie and game theoretic method. In Problems in Nonlinear Analysis, CIME Ed. Cremonese, Roma, 1971. | Zbl | MR
[8] , The Cauchy problem for degenerate parabolic equations. J. Math. Mech., t. 13, 1964, p. 987-1008. | Zbl | MR
[9] , The Cauchy problem for first order partial differential equations. Indiana Univ. Mat. J., t. 23, 1973, p. 27-40. | Zbl | MR
[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, | Zbl | MR
[14] , Existence results for first order Hamilton Jacobi equations. To appear in Ric. Mat. | Zbl | MR
[15] , Existence of viscosity solutions of Hamilton Jacobi equations. | Zbl





