English

Estimates for Green's functions of elliptic equations in non-divergence form with continuous coefficients

Analysis of PDEs 2021-08-24 v2

Abstract

We present a new method for the existence and pointwise estimates of a Green's function of non-divergence form elliptic operator with Dini mean oscillation coefficients. We also present a sharp comparison with the corresponding Green's function for constant coefficients equations.

Keywords

Cite

@article{arxiv.2103.04071,
  title  = {Estimates for Green's functions of elliptic equations in non-divergence form with continuous coefficients},
  author = {Seick Kim and Sungjin Lee},
  journal= {arXiv preprint arXiv:2103.04071},
  year   = {2021}
}

Comments

14 pages