English

A remark on optimal data spaces for classical solutions of $\bar\partial$

Analysis of PDEs 2020-10-29 v1 Complex Variables

Abstract

We study the minimal regularity required on the datum to guarantee the existence of classical C1C^1 solutions to the inhomogeneous Cauchy-Riemann equations on planar domains.

Cite

@article{arxiv.2010.14650,
  title  = {A remark on optimal data spaces for classical solutions of $\bar\partial$},
  author = {Martino Fassina and Yifei Pan and Yuan Zhang},
  journal= {arXiv preprint arXiv:2010.14650},
  year   = {2020}
}

Comments

8 pages

R2 v1 2026-06-23T19:42:06.566Z