Viscosity solutions of fully nonlinear second-order elliptic partial differential equations

Some properties of viscosity solutions of Hamilton-Jacobi equations

Michael G. Crandall, L. C. Evans, Pierre‐Louis Lions · Transactions of the American Mathematical Society · 1984 · 1.2K citations

Natural Sciences, Mathematics, Differential Equations +13

Optimal Control with State-Space Constraint I

H. Meté Soner · SIAM Journal on Control and Optimization · 1986 · 615 citations

Natural Sciences, Mathematics, Differential Equations +15

Perron’s method for Hamilton-Jacobi equations

Hitoshi Ishii · Duke Mathematical Journal · 1987 · 409 citations

Natural Sciences, Mathematics, Physics +8

Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness

Pierre‐Louis Lions · Communications in Partial Differential Equations · 1983 · 400 citations

Natural Sciences, Mathematics, Dynamical Systems +16

On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's

Hitoshi Ishii · Communications on Pure and Applied Mathematics · 1989 · 367 citations

Natural Sciences, Mathematics, Differential Equations +14