Green's function for second order elliptic equations in non-divergence form
Analysis of PDEs
2020-02-11 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 and the domain has boundary. We also obtain pointwise bounds for the Green functions and its derivatives.
Cite
@article{arxiv.1712.02160,
title = {Green's function for second order elliptic equations in non-divergence form},
author = {Sukjung Hwang and Seick Kim},
journal= {arXiv preprint arXiv:1712.02160},
year = {2020}
}
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12 pages