English

High dimensionality and h-principle in PDE

Analysis of PDEs 2016-09-13 v1 Differential Geometry

Abstract

In this note we would like to present "an analysts' point of view" on the Nash-Kuiper theorem and in particular highlight the very close connection to some aspects of turbulence -- a paradigm example of a high-dimensional phenomenon.

Cite

@article{arxiv.1609.03180,
  title  = {High dimensionality and h-principle in PDE},
  author = {Camillo De Lellis and László Székelyhidi},
  journal= {arXiv preprint arXiv:1609.03180},
  year   = {2016}
}

Comments

To appear in the Bulletin of the AMS

R2 v1 2026-06-22T15:46:13.241Z