H\"older and Harnack estimates for integro-differential operators with kernels of measure
Analysis of PDEs
2024-10-01 v1
Abstract
We establish H\"older and Harnack estimates for weak solutions of a class of elliptic nonlocal equations that are modeled on integro-differential operators with kernels of measure. The approach is of De Giorgi-type, as developed by DiBenedetto, Gianazza and Vespri in a local setting. Our results generalize the work by Dyda and Kassmann (2020).
Keywords
Cite
@article{arxiv.2409.20190,
title = {H\"older and Harnack estimates for integro-differential operators with kernels of measure},
author = {Jingya Chen},
journal= {arXiv preprint arXiv:2409.20190},
year = {2024}
}