@article{ASNSP_1989_4_16_1_105_0, author = {Ishii, Hitoshi}, title = {A boundary value problem of the {Dirichlet} type for {Hamilton-Jacobi} equations}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {105--135}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 16}, number = {1}, year = {1989}, mrnumber = {1056130}, zbl = {0701.35052}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1989_4_16_1_105_0/} }
TY - JOUR AU - Ishii, Hitoshi TI - A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1989 SP - 105 EP - 135 VL - 16 IS - 1 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1989_4_16_1_105_0/ LA - en ID - ASNSP_1989_4_16_1_105_0 ER -
%0 Journal Article %A Ishii, Hitoshi %T A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1989 %P 105-135 %V 16 %N 1 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1989_4_16_1_105_0/ %G en %F ASNSP_1989_4_16_1_105_0
Ishii, Hitoshi. A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 16 (1989) no. 1, pp. 105-135. http://archive.numdam.org/item/ASNSP_1989_4_16_1_105_0/
[1] Discontinuous solutions of deterministic optimal stopping time problems, preprint. | Numdam | MR
- ,[2] Personal communication.
- ,[3] Opérateur maximaux monotones et semi-groups de contraction dans les espaces de Hilbert, North-Holland, Amsterdam 1973. | MR | Zbl
,[4] Personal communication.
- ,[5] Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 282 (1984), 487-501. | MR | Zbl
- - ,[6] Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited, J. Math. Soc. Japan 39 (1987), 591-596. | MR | Zbl
- - ,[7] Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983), 1-42. | MR | Zbl
- ,[8] Viscosity solutions of Hamilton - Jacobi equations at the boundary, Proc. Amer, Math. Soc. 94 (1985), 283-290. | MR | Zbl
- ,[9] On Hamilton-Jacobi equations in bounded domains, Proc. Royal Soc. Edinbourgh 102A (1986), 221-242. | MR | Zbl
,[10] Representation of solutions of Hamilton-Jacobi equations, Nonlinear Anal. TMA. 12 (1988), 121-146. | MR | Zbl
,[11] A simple, direct proof of uniqueness for solutions of the Hamilton-Jacobi equations of eikonal type, Proc. Amer. Math. Soc. 100 (1987), 247-251. | MR | Zbl
,[12] Hamilton-Jacobi equations with discontinuous Hamiltonians on arbitrary open sets, Bull. Facul. Sci. & Eng. Chuo. Univ. 28 (1985), 33-77. | MR | Zbl
,[13] Perron's method for Hamilton-Jacobi equations, Duke Math. J. 55 (1987), 369-384. | MR | Zbl
,[14] Remarks on elliptic singular perturbation problems, to appear in Appl. Math. Optim. | MR | Zbl
- ,[15] New uniqueness and domain of dependence results for nonlinear first-order partial differential equations, preprint.
,[16] Generalized solutions of Hamilton-Jacobi equations, Pitman, Boston, 1982. | MR | Zbl
,[17] Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. Part II, Comm. PDE. 8 (1983), 1229-1276. | MR | Zbl
,[18] Neumann type boundary conditions for Hamilton-Jacobi equations, Duke Math. J. 52 (1985), 793-820. | MR | Zbl
,[19] Personal communication.
,[20] Optimal control with state-space constraints, I, SIAM J. Control Optim. | MR | Zbl
,[21] A remark about viscosity solutions of Hamilton-Jacobi equations at the boundary, Proc. Amer. Math. Soc. 96 (1986), 323-329. | MR | Zbl
,