H\"older Regularity For Integro-Differential Equations With Nonlinear Directional Dependence
Analysis of PDEs
2013-06-04 v1 Probability
Abstract
We prove H\"older regularity results for a class of nonlinear elliptic integro-differential operators with integration kernels whose ellipticity bounds are strongly directionally dependent. These results extend those in [9] and are also uniform as the order of operators approaches 2.
Keywords
Cite
@article{arxiv.1306.0082,
title = {H\"older Regularity For Integro-Differential Equations With Nonlinear Directional Dependence},
author = {Marcus Rang and Moritz Kassmann and Russell W. Schwab},
journal= {arXiv preprint arXiv:1306.0082},
year = {2013}
}