A NEW PROOF OF THE CAFFARELLI-KOHN-NIRENBERG THEOREM

Authors
LIN FH
Citation
Fh. Lin, A NEW PROOF OF THE CAFFARELLI-KOHN-NIRENBERG THEOREM, Communications on pure and applied mathematics, 51(3), 1998, pp. 241-257
Citations number
23
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Communications on pure and applied mathematics → ACNP
ISSN journal
00103640
Volume
51
Issue
3
Year of publication
1998
Pages
241 - 257
Database
ISI
SICI code
0010-3640(1998)51:3<241:ANPOTC>2.0.ZU;2-Y
Abstract
Here we give a self-contained new proof of the partial regularity theo rems for solutions of incompressible Navier-Stokes equations in three spatial dimensions. These results were originally due to Scheffer and Caffarelli, Kohn, and Nirenberg. Our proof is much more direct and sim pler. (C) 1998 John Wiley & Sons, Inc.