Quasi-periodically forced and reversible vibrations of beam equations with Liouvillean frequencies
Author:
Funder
National Natural Science Foundation of China
Natural Science Foundation of Jiangsu Province
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00033-023-01948-4.pdf
Reference34 articles.
1. Avila, A., Fayad, B., Krikorian, R.: A KAM scheme for $${\rm SL}(2, R)$$ cocycles with Liouvillean frequencies. Geom. Funct. Anal. 21(5), 1001–1019 (2011)
2. Baldi, P., Berti, M., Haus, E., Montalto, R.: Time quasi-periodic gravity water waves in finite depth. Invent. Math. 214(2), 739–911 (2018)
3. Baldi, P., Berti, M., Montalto, R.: KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation. Math. Ann. 359(1–2), 471–536 (2014)
4. Bambusi, D.: On long time stability in Hamiltonian perturbations of non-resonant linear PDEs. Nonlinearity 12(4), 823–850 (1999)
5. Bambusi, D., Graffi, S.: Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods. Commun. Math. Phys. 219(2), 465–480 (2001)
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