Published October 2004
| Submitted
Journal Article
Open
Dispersive Estimates for Schrödinger Operators in Dimensions One and Three
- Creators
- Goldberg, Michael
- Schlag, Wilhelm
Abstract
We consider L^1→L^∞ estimates for the time evolution of Hamiltonians H=−Δ+V in dimensions d=1 and d=3 with bound t^(-∂/2). We require decay of the potentials but no regularity. In d=1 the decay assumption is ∫(1+|x|)|V(x)|dx<∞, whereas in d=3 it is |V(x)|≤C(1+|x|)^(−3−).
Additional Information
© 2004 Springer-Verlag. Received: 5 June 2003 / Accepted: 5 January 2004 / Published online: 27 August 2004. Supported by the NSF grant DMS-0070538 and a Sloan fellowship. Communicated by B. Simon.Attached Files
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Additional details
- Eprint ID
- 75873
- DOI
- 10.1007/s00220-004-1140-5
- Resolver ID
- CaltechAUTHORS:20170408-133838992
- DMS-0070538
- NSF
- Alfred P. Sloan Foundation
- Created
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2017-04-13Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field