English

Beltrami equation with coefficient in Sobolev and Besov spaces

Analysis of PDEs 2019-08-15 v1 Classical Analysis and ODEs

Abstract

Our goal in this work is to present some function spaces on the complex plane \C\C, X(\C)X(\C), for which the quasiregular solutions of the Beltrami equation, ˉf(z)=μ(z)f(z)\bar\partial f (z) = \mu(z) \partial f (z), have first derivatives locally in X(\C)X(\C), provided that the Beltrami coefficient μ\mu belongs to X(\C)X(\C).

Keywords

Cite

@article{arxiv.1204.3794,
  title  = {Beltrami equation with coefficient in Sobolev and Besov spaces},
  author = {Victor Cruz and Joan Mateu and Joan Orobitg},
  journal= {arXiv preprint arXiv:1204.3794},
  year   = {2019}
}