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Quasiperiodic
solutions of NLS with Liouvillean frequencies
Xindong Xu, Jiangong You and Qi Zhou |
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Vol. 14 (2021), No. 8, 2327–2362
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Abstract |
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We prove the existence of time quasiperiodic solutions with Liouvillean frequencies for the forced nonlinear Schrödinger equation (NLS). The tool utilized here is a new infinite-dimensional KAM theorem that applies to Liouvillean frequencies. |
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Keywords
Liouvillean frequency, quasiperiodic solution, KAM
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Mathematical Subject Classification 2010
Primary: 37K55
Secondary: 35Q55
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Milestones
Received: 11 July 2018
Revised: 14 May 2020
Accepted: 27 August 2020
Published: 19 December 2021
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Authors |
| Xindong Xu | |
| School of Mathematics Southeast University Nanjing China |
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| Jiangong You | |
| Chern Institute of Mathematics and
LPMC Nankai University Tianjin China |
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| Qi Zhou | |
| Chern Institute of Mathematics and
LPMC Nankai University Tianjin China |
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