Distributional solutions of the Beltrami equation
Analysis of PDEs
2017-11-21 v1 Complex Variables
Abstract
We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributional solutions are true quasiregular maps and they are smoother than expected, that is, they have second order derivatives in , for some .
Keywords
Cite
@article{arxiv.1711.07226,
title = {Distributional solutions of the Beltrami equation},
author = {A. L. Baisón and A. Clop and J. Orobitg},
journal= {arXiv preprint arXiv:1711.07226},
year = {2017}
}