English

Remarks on hypoelliptic equations

Analysis of PDEs 2026-04-06 v3

Abstract

Smooth hypoellipticity for scalar equations is quite well understood presently. On the other hand, much remains to be done for systems and/or at different levels of regularity and in particular for L1L^1-hypoellipticity. In this article we provide some examples and counter-examples.

Keywords

Cite

@article{arxiv.2302.01832,
  title  = {Remarks on hypoelliptic equations},
  author = {Valeria Banica and Nicolas Burq},
  journal= {arXiv preprint arXiv:2302.01832},
  year   = {2026}
}

Comments

Revised version, to appear in Ann. Henri Lebesgue

R2 v1 2026-06-28T08:31:30.148Z