English

Paracontrolled calculus and regularity structures

Analysis of PDEs 2019-10-29 v3

Abstract

We start in this work the study of the relation between the theory of regularity structures and paracontrolled calculus. We give a paracontrolled representation of the reconstruction operator and provide a natural parametrization of the space of admissible models.

Keywords

Cite

@article{arxiv.1812.07919,
  title  = {Paracontrolled calculus and regularity structures},
  author = {I. Bailleul and M. Hoshino},
  journal= {arXiv preprint arXiv:1812.07919},
  year   = {2019}
}

Comments

v3: final version, 32 pages

R2 v1 2026-06-23T06:47:42.441Z