Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590016 | Journal of Functional Analysis | 2014 | 20 Pages |
Abstract
We show how a theorem about the solvability in C1,1C1,1 of special Isaacs equations can be used to obtain existence and uniqueness of viscosity solutions of general uniformly nondegenerate Isaacs equations. We apply it also to establish the C1+χC1+χ regularity of viscosity solutions and show that finite-difference approximations have an algebraic rate of convergence. The main coefficients of the Isaacs equations are supposed to be in CγCγ with γ slightly less than 1/2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
N.V. Krylov,