Reducibility for a class of quasi-periodic linear Schrödinger equations and its application-Reference-Cited by-同舟云学术

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Reducibility for a class of quasi-periodic linear Schrödinger equations and its application

Published:2023-10-07 Issue:22 Volume:111 Page:21207-21239
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Ren Xiufang,Zhao Shiji

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

https://link.springer.com/content/pdf/10.1007/s11071-023-08925-6.pdf

Reference22 articles.

1. Avila, A., Damanik, D., Zhang, Z.: Schrödinger operators with potentials generated by hyperbolic transformations: I-positivity of the Lyapunov exponent. Invent. Math. 231, 851–927 (2023)

2. 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)

3. Bambusi, D., Graffi, S.: Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods. Commun. Math. Phys. 219(2), 465–480 (2001)

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

5. Bourgain, J., Schlag, W.: Anderson localization for Schrödinger operators on $${\mathbb{Z} }$$ with strongly mixing potentials. Commun. Math. Phys. 215, 143–175 (2000)

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