Quasi-Periodic Solutions of Derivative Beam Equation on Flat Tori-Reference-Cited by-同舟云学术

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Quasi-Periodic Solutions of Derivative Beam Equation on Flat Tori

Published:2022-09-13 Issue:4 Volume:21 Page:
ISSN:1575-5460
Container-title:Qualitative Theory of Dynamical Systems
language:en
Short-container-title:Qual. Theory Dyn. Syst.

Author:

Sun Yingte

Funder

Postdoctoral Science Foundation of Jiangsu Province

Postdoctoral Research Foundation of China

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

https://link.springer.com/content/pdf/10.1007/s12346-022-00654-2.pdf

Reference30 articles.

1. Bambusi, D., Grébert, B., Maspero, A., Robert, D.: Reducibility of the quantum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation. Anal. PDE. 11(3), 775–799 (2018)

2. Bambusi, D., Langella, B., Montalto, R.: Reducibility of non-resonant transport equation on $$\mathbb{T} ^d$$ with unbounded perturbations. Ann. Henri Poincaré. 20(6), 1893–1929 (2019)

3. Berti, M., Bolle, P.: Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential. Nonlinearity 25(9), 2579–2613 (2012)

4. Berti, M., Bolle, P.: Quasi-periodic solutions with Sobolev regularity of NLS on $$\mathbb{T} ^d$$ with a multiplicative potential. J. Eur. Math. Soc. 15(1), 229–286 (2013)

5. Berti, M., Corsi, L., Procesi, M.: An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds. Comm. Math. Phys. 334, 1413–1454 (2015)

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