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Inverse spectral theory
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Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrodinger equation
*This paper was written while both authors were guests of the Forschungsinstitut fur Mathematik at the ETH Zurich, and we thank the institute for its hospitality, pleasant working atmosphere andExpand
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A lecture on the classical KAM theorem
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 laid out by theExpand
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Integrability of hamiltonian systems on cantor sets
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On the construction of almost periodic solutions for a nonlinear Schrödinger equation
  • J. Pöschel
  • Mathematics
  • Ergodic Theory and Dynamical Systems
  • 1 October 2002
We describe the construction of almost-periodic solutions for a particular Schrödinger equation on a finite x- interval, depending on some potential V. The construction proceeds by iterating a KAMExpand
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On elliptic lower dimensional tori in hamiltonian systems
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Small divisors with spatial structure in infinite dimensional Hamiltonian systems
A general perturbation theory of the Kolmogorov-Arnold-Moser type is described concerning the existence of infinite dimensional invariant tori in nearly integrable hamiltonian systems. The key ideaExpand
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