id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
0g354f1842q	Jennifer Gorsky	On the Cauchy Problem for a KdV-Type Equation on the Circle	2004		.txt	text/plain	228	9	55	We begin by proving well-posedness in Bourgain spaces for sufficiently small size initial data in the Sobolev space $H^s(mathbb{T})$, $s=1/2$, by using appropriate bilinear estimates. In the second part of this work we show that the periodic Cauchy problem for the mCH equation with analytic initial data is analytic in the space variable $x$ for time near zero.	cache/0g354f1842q.txt	txt/0g354f1842q.txt