English

Impact of Yves Meyer's work on Kato's conjecture

Analysis of PDEs 2023-11-03 v1 Classical Analysis and ODEs

Abstract

We discuss how the works of Yves Meyer, together with Raphy Coifman, on Calder{\'o}n's program and singular integrals with minimal smoothness in the seventies, paved the way not only to a solution to Kato's conjecture for square roots of elliptic operators, but also to major developments in elliptic and parabolic boundary value problems with rough coefficients on rough domains.

Keywords

Cite

@article{arxiv.2311.01068,
  title  = {Impact of Yves Meyer's work on Kato's conjecture},
  author = {Pascal Auscher},
  journal= {arXiv preprint arXiv:2311.01068},
  year   = {2023}
}

Comments

to be published