Published July 18, 2000
| Published
Journal Article
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A generalization of Gordon's theorem and applications to quasiperiodic Schrodinger operators
- Creators
- Damanik, David
- Stolz, Günter
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.
Additional Information
© 2000 Southwest Texas State University and University of North Texas. Submitted May 12, 2000. Published July 18, 2000. (D.D.) Supported by the German Academic Exchange Service through Hochschulsonderprogramm III (Postdoktoranden). (G.S.) Partially supported by NSF Grant DMS 9706076.Attached Files
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Additional details
- Eprint ID
- 4118
- Resolver ID
- CaltechAUTHORS:DAMejde00
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2006-07-28Created from EPrint's datestamp field
- Updated
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2020-05-18Created from EPrint's last_modified field