English

Commutator estimates from a viewpoint of regularity structures

Analysis of PDEs 2019-03-05 v1

Abstract

First we introduce the Bailleul-Hoshino's result [4], which links the theory of regularity structures and the paracontrolled calculus. As an application of their result, we give another algebraic proof of the multicomponent commutator estimate [3], which is a generalized version of the Gubinelli-Imkeller-Perkowski's commutator estimate [11, Lemma 2.4].

Keywords

Cite

@article{arxiv.1903.00623,
  title  = {Commutator estimates from a viewpoint of regularity structures},
  author = {Masato Hoshino},
  journal= {arXiv preprint arXiv:1903.00623},
  year   = {2019}
}

Comments

12 pages, submitted to the Proceedings of the RIMS Symposium "Stochastic Analysis on Large Scale Interacting Systems", November 2018, Kyoto, Japan

R2 v1 2026-06-23T07:56:05.941Z