Error estimates for approximations of nonlinear uniformly parabolic equations
classification
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keywords
uniformlyparabolicapproximationsdelta-viscosityerrornonlinearsolutionsactual
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We introduce the notion of \delta-viscosity solutions for fully nonlinear uniformly parabolic PDE on bounded domains. We prove that \delta-viscosity solutions are uniformly close to the actual viscosity solution. As a consequence we obtain an error estimate for implicit monotone finite difference approximations of uniformly parabolic PDE.
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