On quasi-periodic lattice Schrodinger operators

被引：0

作者：

Bourgain, J ^{[1
]}

机构：

[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2004年 / 10卷 / 1-2期

关键词：

Schroedinger operator; spectrum; KAM theory; Melnikov problems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：75 / 88

页数：14

共 50 条

[31] Upper bounds on the spectral gaps of quasi-periodic Schrodinger operators with Lionville frequencies
Liu, Wencai
Shi, Yunfeng
[J]. JOURNAL OF SPECTRAL THEORY, 2019, 9 (04) : 1223 - 1248
[32] Anderson localization for Schrodinger operators on Z2 with quasi-periodic potential
Bourgain, J
Goldstein, M
Schlag, W
[J]. ACTA MATHEMATICA, 2002, 188 (01) : 41 - 86
[33] On the spectrum of schrodinger operators with quasi-periodic algebro-geometric KdV potentials
Batchenko, V
Gesztesy, F
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 2005, 95 (1): : 333 - 387
[34] Dispersive estimate for quasi-periodic Schrodinger operators on 1-d lattices
Bambusi, Dario
Zhao, Zhiyan
[J]. ADVANCES IN MATHEMATICS, 2020, 366
[35] Holder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrodinger Operators
Sun, Mei
Wang, Xueyin
[J]. ANALYSIS IN THEORY AND APPLICATIONS, 2020, 36 (01) : 33 - 51
[36] LOCALIZATION FOR A CLASS OF ONE-DIMENSIONAL QUASI-PERIODIC SCHRODINGER-OPERATORS
FROHLICH, J
SPENCER, T
WITTWER, P
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 132 (01) : 5 - 25
[37] Holder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrodinger Operators
Mei Sun
Xueyin Wang
[J]. Analysis in Theory and Applications, 2020, 36 (01) : 33 - 51
[38] Quasi-periodic solutions of Schrodinger equations with quasi-periodic forcing in higher dimensional spaces
Zhang, Min
Rui, Jie
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (07): : 3670 - 3693
[39] Large coupling asymptotics for the Lyapunov exponent of finitely smooth quasi-periodic Schrodinger operators
Liang, Jinhao
[J]. NONLINEARITY, 2021, 34 (04) : 2116 - 2154
[40] Localization of surface states for a class of discrete Schrodinger operators with quasi-periodic surface potentials
de Monvel, AB
Surkova, A
[J]. HELVETICA PHYSICA ACTA, 1998, 71 (05): : 459 - 490

← 1 2 3 4 5 →