151 citations · 161 across the 3 of their papers we have counts for
3 papers
math.DS2009★ 151 cited
A lecture on the classical KAM theorem
Jürgen Pöschel
The purpose of this lecture is to describe the KAM theorem in its most basic form and to give a complete and detailed proof. This proof essentially follows the traditional lines la…
math.SP2009
Hill's potentials in weighted Sobolev spaces and their spectral gaps
Jürgen Pöschel
We describe a new, short proof of some facts relating the gap lengths of the spectrum of a potential of Hill's equation to its regularity. For example, a real potential is in a wei…
math.AP2009★ 10 cited
Normal form theory for the NLS equation
Benoît Grébert, Thomas Kappeler, Jürgen Pöschel
We consider the nonlinear Schrodinger equation with a cubic nonlinearity on the circle, which is known to represent an integrable Hamiltonian system. We construct a global coordina…