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math.AP2011
On the periodic Korteweg-de Vries equation: a normal form approach
Seungly Oh
This paper discusses an improved smoothing phenomena for low-regularity solutions of the Korteweg-de Vries (KdV) equation in the periodic settings by means of normal form transform…
math.AP2011★ 2 cited
Local well-posedness for quadratic Schrödinger equations in : a normal form approach
Seungly Oh, Atanas Stefanov
For the Schrödinger equation $u_t+i u_{xx}=\nab^\be[u^2]$, $\be\in (0,1/2)$, we establish local well-posedness in $H^{\be-1+}$ (note that if $\be=0$, this matches, up to an endpoin…