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math.AP2013★ 9 cited
Error estimates for approximations of nonlinear uniformly parabolic equations
Olga Turanova
We introduce the notion of δ-viscosity solutions for fully nonlinear uniformly parabolic PDE on bounded domains. We prove that δ-viscosity solutions are uniformly close to the actu…
math.AP2013★ 12 cited
Error estimates for approximations of nonhomogeneous nonlinear uniformly elliptic equations
Olga Turanova
We obtain an error estimate between viscosity solutions and δ-viscosity solutions of nonhomogeneous fully nonlinear uniformly elliptic equations. The main assumption, besides unifo…