Publication: A KAM theorem for the defocusing NLS equation
A KAM theorem for the defocusing NLS equation
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Kappeler, T., & Liang, Z. (2012). A KAM theorem for the defocusing NLS equation. Journal of Differential Equations, 252(6), 4068–4113. https://doi.org/10.1016/j.jde.2011.11.028
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In this paper we prove a KAM theorem for the defocusing NLS equation in one space dimension with periodic boundary conditions. The novelty of our result is that it is valid not only near the zero solution, but on the entire Sobolev space H-N(T,C) with N is an element of Z(>= 1). In particular, the invariant tori which persist under small Hamiltonian perturbations might be far away from the zero potential. (C) 2011 Elsevier Inc. All rights reserved.
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- Kappeler, T
- Liang, Z
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Kappeler, T., & Liang, Z. (2012). A KAM theorem for the defocusing NLS equation. Journal of Differential Equations, 252(6), 4068–4113. https://doi.org/10.1016/j.jde.2011.11.028
