English

Estimates for Green functions of Stokes systems in two dimensional domains

Analysis of PDEs 2018-11-06 v2

Abstract

We prove the existence and pointwise bounds of the Green functions for stationary Stokes systems with measurable coefficients in two dimensional domains. We also establish pointwise bounds of the derivatives of the Green functions under a regularity assumption on the L1L_1-mean oscillations of the coefficients.

Keywords

Cite

@article{arxiv.1809.07119,
  title  = {Estimates for Green functions of Stokes systems in two dimensional domains},
  author = {Jongkeun Choi and Doyoon Kim},
  journal= {arXiv preprint arXiv:1809.07119},
  year   = {2018}
}

Comments

minor revision; accepted in Journal of Mathematical Analysis and Applications