English

Parabolic bootstrap for some non-linear equations

Analysis of PDEs 2022-08-23 v1

Abstract

We obtain the well-posedness and Schauder estimates for a class of system of linear, quasi-linear and non-linear second order partial differential equations. We deduce existence and uniqueness of a global smooth solution of a non-linear and non-local equation that we call "semi" incompressible Navier Stokes equation in R 3 .

Keywords

Cite

@article{arxiv.2208.10117,
  title  = {Parabolic bootstrap for some non-linear equations},
  author = {Igor Honoré},
  journal= {arXiv preprint arXiv:2208.10117},
  year   = {2022}
}
R2 v1 2026-06-25T01:51:45.996Z