Regularization for the supercritical quasi-geostrophic equation
Abstract
Motivated by the De Giorgi type argument used in a recent paper by Caffarelli and Vasseur, we prove Hölder-regularity for weak solutions of the supercritical quasi-geostrophic equation with minimal assumptions on the initial datum.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2010
- DOI:
- arXiv:
- arXiv:1007.4889
- Bibcode:
- 2010arXiv1007.4889B
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 35D10;
- 35J55
- E-Print:
- 18 pages This paper has been withdrawn by the author due to a crucial error in the proof of the main result