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

N. V. Krylov

doi:10.1007/s10958-011-0445-0

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

N. V. Krylov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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. Estimates for Second finite di. erence approximations for solving the corresponding equations.

Original language	English (US)
Pages (from-to)	1-26
Number of pages	26
Journal	Journal of Mathematical Sciences
Volume	177
Issue number	1
DOIs	https://doi.org/10.1007/s10958-011-0445-0
State	Published - Aug 2011

Bibliographical note

Funding Information:
The author was partially supported by NSF Grant DMS-0653121.

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10.1007/s10958-011-0445-0

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

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. Estimates for Second finite di. erence approximations for solving the corresponding equations.",

author = "Krylov, {N. V.}",

note = "Funding Information: The author was partially supported by NSF Grant DMS-0653121.",

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doi = "10.1007/s10958-011-0445-0",

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AU - Krylov, N. V.

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

Abstract

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