On a representation of fully nonlinear elliptic operators in terms of pure second order derivatives and its applications

Author： Krylov N.  

Publisher： Springer Publishing Company

ISSN： 1072-3374

Source： Journal of Mathematical Sciences, Vol.177, Iss.1, 2011-08, pp. : 1-26

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Abstract

We give a method of representing fully nonlinear elliptic operators given by boundedly inhomogeneous functions in terms of operators acting only on pure second order derivatives. We also discuss possible applications of such representations to using .finite di.erence approximations for solving the corresponding equations.

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