Year: 2024
Type: preprint
Abstract: A set of pointwise estimates are established for local solutions to nonlocal diffusion equations with a drift term. In particular, our Harnack estimates are the first ones for such equations, and our Hölder regularity refines certain known result in several aspects. The approach is measure theoretical in the spirit of DeGiorgi classes. It yields novel nonlocal weak Harnack estimates in the elliptic case as well.
Source: arXiv (Cornell University)
Author: Liao, Naian
Institution: University of Salzburg
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4391988008