A note on well-posedness for Camassa-Holm equation

In this note, we investigate the problem of well-posedness for a shallow water equation with data having critical regularity. Our results are based on the use of Besov spaces B-2,r(s) (which generalize the Sobolev spaces H-s) with critical index s 3/2. (C) 2003 Published by Elsevier Science (USA).