3 papers
math.FA2007
On the symplectic phase space of KdV
T. Kappeler, F. Serier, P. Topalov
We prove that the Birkhoff map $\Om$ for KdV constructed on $H^{-1}_0(\T)$ can be interpolated between $H^{-1}_0(\T)$ and $L^2_0(\T)$. In particular, the symplectic phase space $H^…
math.SP2006
Inverse spectral problem for singular AKNS operator on [0,1]
Frédéric Serier
We consider an inverse spectral problem for a class of singular AKNS operators with an explicit singularity. We construct for each , a standard map $λ^a\time…
math.SP2005
Inverse spectral problem for radial Schrödinger operator on [0, 1]
Frédéric Serier
For a class of singular Sturm-Liouville equations on the unit interval with explicit singularity , we consider an inverse spectral problem. Our goal…