Holder regularity for fully nonlinear nonlocal equations

Fuente: arXiv
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Main Author: Cabeza, Juan Pablo
Format: Preprint
Published: 2024
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author Cabeza, Juan Pablo
author_facet Cabeza, Juan Pablo
contents In this survey we prove Hölder regularity results for viscosity solutions of fully nonlinear nonlocal uniformly elliptic second order differential equations with local gradient terms. This extends the nonlocal counterpart of the work of G. Barles, E. Chasseigne and C. Imbert in JEMS, 2011, to fully nonlinear extremal nonlocal operators.
format Preprint
id arxiv_https___arxiv_org_abs_2410_11518
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Holder regularity for fully nonlinear nonlocal equations
Cabeza, Juan Pablo
Analysis of PDEs
In this survey we prove Hölder regularity results for viscosity solutions of fully nonlinear nonlocal uniformly elliptic second order differential equations with local gradient terms. This extends the nonlocal counterpart of the work of G. Barles, E. Chasseigne and C. Imbert in JEMS, 2011, to fully nonlinear extremal nonlocal operators.
title Holder regularity for fully nonlinear nonlocal equations
topic Analysis of PDEs
url https://arxiv.org/abs/2410.11518