Published April 2012
| Published
Journal Article
Open
Unique continuation for discrete nonlinear wave equations
- Creators
- Krüger, Helge
- Teschl, Gerald
Abstract
We establish unique continuation for various discrete nonlinear wave equations. For example, we show that if two solutions of the Toda lattice coincide for one lattice point in some arbitrarily small time interval, then they coincide everywhere. Moreover, we establish analogous results for the Toda, Kac-van Moerbeke, and Ablowitz-Ladik hierarchies. Although all these equations are integrable, the proof does not use integrability and can be adapted to other equations as well.
Additional Information
© 2011 American Mathematical Society. Reverts to public domain 28 years from publication. Received by the editors April 1, 2009 and, in revised form, December 30, 2010. Posted: August 1, 2011. We thank F. Gesztesy and the anonymous referee for pointing out errors in a previous version of this article. Research supported by the Austrian Science Fund (FWF) under grant No. Y330 and the National Science Foundation (NSF) under grant No. DMS-0800100.Attached Files
Published - Krueger2012p17771P_Am_Math_Soc.pdf
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Additional details
- Eprint ID
- 30078
- Resolver ID
- CaltechAUTHORS:20120413-114437362
- Y330
- Austrian Science Fund
- DMS-0800100
- NSF
- Created
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2012-04-13Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field