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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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