Partial regularity for elliptic systems with VMO-coefficients

Taku Kanazawa

Partial regularity for elliptic systems with VMO-coefficients

Analysis of PDEs 2013-07-09 v2

Authors: Taku Kanazawa

Abstract

We establish partial regularity for vector-valued solutions to inhomogeneous elliptic systems in divergence form where the coefficients are possibly discontinuous with respect to $x$ . More precisely, we assume a VMO-condition with respect to the $x$ and continuity with respect to $u$ and prove H\"older continuity of the solutions outside of singular sets.

Keywords

regularity of solutions regularity for elliptic equations elliptic partial differential equations

Cite

@article{arxiv.1302.4148,
  title  = {Partial regularity for elliptic systems with VMO-coefficients},
  author = {Taku Kanazawa},
  journal= {arXiv preprint arXiv:1302.4148},
  year   = {2013}
}

Comments

16 pages

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