Green's function for nondivergence elliptic operators in two dimensions
Analysis of PDEs
2021-08-24 v3
Abstract
We construct the Green function for second-order elliptic equations in non-divergence form when the mean oscillations of the coefficients satisfy the Dini condition. We show that the Green's function is BMO in the domain and establish logarithmic pointwise bounds. We also obtain pointwise bounds for first and second derivatives of the Green's function.
Cite
@article{arxiv.2003.11185,
title = {Green's function for nondivergence elliptic operators in two dimensions},
author = {Hongjie Dong and Seick Kim},
journal= {arXiv preprint arXiv:2003.11185},
year = {2021}
}
Comments
20 pages