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High-order estimates for fully nonlinear equations under weak concavity assumptions.
- Source :
-
Journal de Mathematiques Pures et Appliquees . Feb2024, Vol. 182, p223-252. 30p. - Publication Year :
- 2024
-
Abstract
- This paper studies a priori and regularity estimates of Evans-Krylov type in Hölder spaces for fully nonlinear uniformly elliptic and parabolic equations of second order when the operator fails to be concave or convex in the space of symmetric matrices. In particular, it is assumed that either the level sets are convex or the operator is concave, convex or close to a linear function near infinity. As a byproduct, these results imply polynomial Liouville theorems for entire solutions of elliptic equations and for ancient solutions to parabolic problems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00217824
- Volume :
- 182
- Database :
- Academic Search Index
- Journal :
- Journal de Mathematiques Pures et Appliquees
- Publication Type :
- Academic Journal
- Accession number :
- 175026327
- Full Text :
- https://doi.org/10.1016/j.matpur.2023.12.006