Published 2004
| Version public
Journal Article
A Limiting Absorption Principle for the Three-Dimensional Schrödinger Equation with L^p Potentials
Creators
Abstract
We obtain mapping estimates for the Schrödinger resolvent (-Δ + V - λ^2)^(-1) in R^3, where the potential is assumed to satisfy only an integrability condition. No pointwise decay or additional regularity is required. These results are closely related to Agmon's limiting absorption principle, and also to the Stein-Tomas theorem in Fourier analysis.
Additional Information
© 2004 Hindawi Publishing Corporation. Received January 27, 2004. Revision received August 24, 2004. Accepted October 28, 2004. The second author was supported by the NSF Grant DMS-0300081 and a Sloan fellowship.The authors wish to thank the referee for numerous suggestions.Additional details
Identifiers
- Eprint ID
- 27205
- Resolver ID
- CaltechAUTHORS:20111013-075612442
Funding
- NSF
- DMS-0300081
- Sloan Fellowship
Dates
- Created
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2011-10-13Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field