User’s guide to viscosity solutions of second order partial differential equations MG Crandall, H Ishii, PL Lions Bulletin of the American mathematical society 27 (1), 1-67, 1992 | 6319 | 1992 |
Viscosity solutions of fully nonlinear second-order elliptic partial differential equations H Ishii, PL Lions Journal of Differential equations 83 (1), 26-78, 1990 | 727 | 1990 |
Perron’s method for Hamilton-Jacobi equations H Ishii | 505 | 1987 |
On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's H Ishii Communications on pure and applied mathematics 42 (1), 15-45, 1989 | 464 | 1989 |
On Lipschitz continuity of the solution mapping to the Skorokhod problem, with applications P Dupuis, H Ishii Stochastics: An International Journal of Probability and Stochastic …, 1991 | 353 | 1991 |
Comparison principle and convexity preserving properties for singular degenerate parabolic equations on unbounded domains Y Giga, S Goto, H Ishii, MH Sato Indiana University Mathematics Journal, 443-470, 1991 | 316 | 1991 |
Hamilton-Jacobi equations with discontinuous Hamiltonians on arbitrary open sets H Ishii Bull. Fac. Sci. Engrg. Chuo Univ 28, 33-77, 1985 | 278* | 1985 |
Uniqueness of unbounded viscosity solution of Hamilton-Jacobi equations H Ishii Indiana University Mathematics Journal 33 (5), 721-748, 1984 | 277 | 1984 |
SDEs with oblique reflection on nonsmooth domains P Dupuis, H Ishii The annals of Probability, 554-580, 1993 | 225 | 1993 |
Approximate solutions of the Bellman equation of deterministic control theory IC Dolcetta, H Ishii Applied Mathematics and Optimization 11 (1), 161-181, 1984 | 221 | 1984 |
The Bellman equation for minimizing the maximum cost. EN Barron, H Ishii NONLINEAR ANAL. THEORY METHODS APPLIC. 13 (9), 1067-1090, 1989 | 216 | 1989 |
The maximum principle for semicontinuous functions MG Crandall, H Ishii | 179 | 1990 |
Finite difference methods for mean field games Y Achdou, G Barles, H Ishii, GL Litvinov, Y Achdou Hamilton-Jacobi Equations: Approximations, Numerical Analysis and …, 2013 | 167* | 2013 |
On the equivalence of two notions of weak solutions, viscosity solutions and distribution solutions H Ishii Funkcial. Ekvac 38 (1), 101-120, 1995 | 167 | 1995 |
A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations H Ishii Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 16 (1), 105-135, 1989 | 167 | 1989 |
Uniqueness of viscosity solutions of Hamilton-Jacobi equations revisited MG Crandall, H Ishii, PL Lions Journal of the Mathematical Society of Japan 39 (4), 581-596, 1987 | 160 | 1987 |
Asymptotic stability and blowing up of solutions of some nonlinear equations H Ishii Journal of Differential Equations 26 (2), 291-319, 1977 | 157 | 1977 |
A simple, direct proof of uniqueness for solutions of the Hamilton-Jacobi equations of eikonal type H Ishii Proceedings of the American Mathematical Society 100 (2), 247-251, 1987 | 156 | 1987 |
Viscosity solutions for monotone systems of second–order elliptic PDEs H Ishii, S Koike Communications in partial differential equations 16 (6-7), 1095-1128, 1991 | 152 | 1991 |
Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor H Ishii, P Souganidis Tohoku Mathematical Journal, Second Series 47 (2), 227-250, 1995 | 148 | 1995 |