A Generalization of Gordon's Theorem and Applications to Quasiperiodic Schrodinger Operators
| dc.contributor.author | Damanik, David | |
| dc.contributor.author | Stolz, Gunter | |
| dc.date.accessioned | 2019-12-12T19:35:23Z | |
| dc.date.available | 2019-12-12T19:35:23Z | |
| dc.date.issued | 2000-07-18 | |
| dc.description.abstract | We present a criterion for absence of eigenvalues for one-dimensional Schrodinger operators. This criterion can be regarded as an L^1-version of Gordon's theorem and it has a broader range of application. Absence of eigenvalues is then established for quasiperiodic potentials generated by Liouville frequencies and various types of functions such as step functions, Holder continuous functions and functions with power-type singularities. The proof is based on Gronwall-type a priori estimates for solutions of Schrodinger equations. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 8 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Damanik, D., & Stolz, G. (2000). A generalization of Gordon's theorem and applications to quasiperiodic Schrodinger operators. <i>Electronic Journal of Differential Equations, 2000</i>(55), pp. 1-8. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/9060 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Schrodinger operators | |
| dc.subject | Eigenvalue problem | |
| dc.subject | Quasiperiodic potentials | |
| dc.title | A Generalization of Gordon's Theorem and Applications to Quasiperiodic Schrodinger Operators | |
| dc.type | Article |