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Spectral properties of limit-periodic Schrödinger operators
1. | Department of Mathematics, Rice University, Houston, TX 77005, USA Government |
References:
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References:
[1] |
Yulia Karpeshina and Young-Ran Lee. On polyharmonic operators with limit-periodic potential in dimension two. Electronic Research Announcements, 2006, 12: 113-120. |
[2] |
Jean Bourgain. On quasi-periodic lattice Schrödinger operators. Discrete and Continuous Dynamical Systems, 2004, 10 (1&2) : 75-88. doi: 10.3934/dcds.2004.10.75 |
[3] |
Xinlin Cao, Yi-Hsuan Lin, Hongyu Liu. Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators. Inverse Problems and Imaging, 2019, 13 (1) : 197-210. doi: 10.3934/ipi.2019011 |
[4] |
Woocheol Choi, Yong-Cheol Kim. The Malgrange-Ehrenpreis theorem for nonlocal Schrödinger operators with certain potentials. Communications on Pure and Applied Analysis, 2018, 17 (5) : 1993-2010. doi: 10.3934/cpaa.2018095 |
[5] |
Jussi Behrndt, A. F. M. ter Elst. The Dirichlet-to-Neumann map for Schrödinger operators with complex potentials. Discrete and Continuous Dynamical Systems - S, 2017, 10 (4) : 661-671. doi: 10.3934/dcdss.2017033 |
[6] |
Juan Arratia, Denilson Pereira, Pedro Ubilla. Elliptic systems involving Schrödinger operators with vanishing potentials. Discrete and Continuous Dynamical Systems, 2022, 42 (3) : 1369-1401. doi: 10.3934/dcds.2021156 |
[7] |
J. Douglas Wright. On the spectrum of the superposition of separated potentials.. Discrete and Continuous Dynamical Systems - B, 2013, 18 (1) : 273-281. doi: 10.3934/dcdsb.2013.18.273 |
[8] |
Rémi Carles, Christof Sparber. Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. Discrete and Continuous Dynamical Systems - B, 2012, 17 (3) : 759-774. doi: 10.3934/dcdsb.2012.17.759 |
[9] |
Dongdong Qin, Xianhua Tang, Qingfang Wu. Ground states of nonlinear Schrödinger systems with periodic or non-periodic potentials. Communications on Pure and Applied Analysis, 2019, 18 (3) : 1261-1280. doi: 10.3934/cpaa.2019061 |
[10] |
Woocheol Choi, Yong-Cheol Kim. $L^p$ mapping properties for nonlocal Schrödinger operators with certain potentials. Discrete and Continuous Dynamical Systems, 2018, 38 (11) : 5811-5834. doi: 10.3934/dcds.2018253 |
[11] |
Vagif S. Guliyev, Ramin V. Guliyev, Mehriban N. Omarova, Maria Alessandra Ragusa. Schrödinger type operators on local generalized Morrey spaces related to certain nonnegative potentials. Discrete and Continuous Dynamical Systems - B, 2020, 25 (2) : 671-690. doi: 10.3934/dcdsb.2019260 |
[12] |
Bartosz Bieganowski, Jaros law Mederski. Nonlinear SchrÖdinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities. Communications on Pure and Applied Analysis, 2018, 17 (1) : 143-161. doi: 10.3934/cpaa.2018009 |
[13] |
Lihui Chai, Shi Jin, Qin Li. Semi-classical models for the Schrödinger equation with periodic potentials and band crossings. Kinetic and Related Models, 2013, 6 (3) : 505-532. doi: 10.3934/krm.2013.6.505 |
[14] |
Yingte Sun. Floquet solutions for the Schrödinger equation with fast-oscillating quasi-periodic potentials. Discrete and Continuous Dynamical Systems, 2021, 41 (10) : 4531-4543. doi: 10.3934/dcds.2021047 |
[15] |
Claude Bardos, François Golse, Peter Markowich, Thierry Paul. On the classical limit of the Schrödinger equation. Discrete and Continuous Dynamical Systems, 2015, 35 (12) : 5689-5709. doi: 10.3934/dcds.2015.35.5689 |
[16] |
Evgeny Korotyaev, Natalia Saburova. Two-sided estimates of total bandwidth for Schrödinger operators on periodic graphs. Communications on Pure and Applied Analysis, 2022, 21 (5) : 1691-1714. doi: 10.3934/cpaa.2022042 |
[17] |
Russell Johnson, Luca Zampogni. Some examples of generalized reflectionless Schrödinger potentials. Discrete and Continuous Dynamical Systems - S, 2016, 9 (4) : 1149-1170. doi: 10.3934/dcdss.2016046 |
[18] |
Tadahiro Oh. Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data. Communications on Pure and Applied Analysis, 2015, 14 (4) : 1563-1580. doi: 10.3934/cpaa.2015.14.1563 |
[19] |
Hiroshi Isozaki, Hisashi Morioka. A Rellich type theorem for discrete Schrödinger operators. Inverse Problems and Imaging, 2014, 8 (2) : 475-489. doi: 10.3934/ipi.2014.8.475 |
[20] |
Jaime Cruz-Sampedro. Schrödinger-like operators and the eikonal equation. Communications on Pure and Applied Analysis, 2014, 13 (2) : 495-510. doi: 10.3934/cpaa.2014.13.495 |
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