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Bibliographic Details
Main Author: Chen, Jingya
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.20190
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author Chen, Jingya
author_facet Chen, Jingya
contents We establish Hölder 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).
format Preprint
id arxiv_https___arxiv_org_abs_2409_20190
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hölder and Harnack estimates for integro-differential operators with kernels of measure
Chen, Jingya
Analysis of PDEs
We establish Hölder 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).
title Hölder and Harnack estimates for integro-differential operators with kernels of measure
topic Analysis of PDEs
url https://arxiv.org/abs/2409.20190