Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms
Analysis of PDEs
2022-10-18 v1
Abstract
We establish the Caccioppoli inequality, a reverse H\"older inequality in the spirit of the classic estimate of Meyers, and construct the fundamental solution for linear elliptic differential equations of order with certain lower order terms.
Cite
@article{arxiv.2210.09207,
title = {Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms},
author = {Ariel Barton and Michael Duffy},
journal= {arXiv preprint arXiv:2210.09207},
year = {2022}
}
Comments
66 pages, 3 figures