Uniqueness results for quasilinear parabolic equations through viscosity solutions' methods

Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.9K citations · Full text

Computing, Computer Science, Computational Geometry +8

User’s guide to viscosity solutions of second order partial differential equations

Michael G. Crandall, Hitoshi Ishii, Pierre-Louis Lions · Bulletin of the American Mathematical Society · 1992 · 5K citations · Full text

Natural Sciences, Mathematics, Computational Fluid Dynamics +16

Motion of level sets by mean curvature. I

L. C. Evans, Joel Spruck · Journal of Differential Geometry · 1991 · 1.2K citations · Full text

Natural Sciences, Mathematics, Physics +14

Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

Yun Gang Chen, Yoshikazu Giga, Shun’ichi Goto · Journal of Differential Geometry · 1991 · 984 citations · Full text

Natural Sciences, Mathematics, Physics +15

Backward stochastic differential equations and integral-partial differential equations

Guy Barles, Rainer Buckdahn, Étienne Pardoux · Stochastics and stochastics reports · 1997 · 572 citations

Natural Sciences, Mathematics, Differential Equations +10