Regularization for the supercritical quasi-geostrophic equation
Analysis of PDEs
2014-05-22 v2
Abstract
Motivated by the De Giorgi type argument used in a recent paper by Caffarelli and Vasseur, we prove H\"older-regularity for weak solutions of the supercritical quasi-geostrophic equation with minimal assumptions on the initial datum.
Keywords
Cite
@article{arxiv.1007.4889,
title = {Regularization for the supercritical quasi-geostrophic equation},
author = {Begoña Barrios},
journal= {arXiv preprint arXiv:1007.4889},
year = {2014}
}
Comments
18 pages This paper has been withdrawn by the author due to a crucial error in the proof of the main result