The maximum principle for viscosity solutions of fully nonlinear second order 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

Viscosity Solution, Hamiltonian Theory, Geometric Partial Differential Equation +9

Classical solutions of fully nonlinear, convex, second‐order elliptic equations

Lawrence C. Evans · Communications on Pure and Applied Mathematics · 1982 · 580 citations

Classical Solutions, Elliptic Equation, Nonlinear Functional Analysis +1

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 · 396 citations

Optimal Control, Calculus Of Variation, Diffusion Processes +8

Optimal control of diffustion processes and hamilton-jacobi-bellman equations part I: the dynamic programming principle and application

P. L Linos · Communications in Partial Differential Equations · 1983 · 220 citations

Mathematical Programming, Numerical Analysis, Hamiltonian Theory +10

Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations, Part I

Pierre‐Louis Lions · Medical Entomology and Zoology · 1983 · 162 citations

Hamiltonian Theory, Optimal Control, Variational Analysis +3