Published October 1980
| public
Journal Article
Unique continuation for Schrodinger operators with unbounded potentials
- Creators
- Schecter, M.
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Simon, B.
Chicago
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Abstract
We consider unique continuation theorems for solution of inequalities ¦Δu(x)¦ ⩽ W(x) ¦u(x)¦ with W allowed to be unbounded. We obtain two kinds of results. One allows W ϵ L^p_(loc)(R^n) with p ⩾ n − 2forn > 5, p >13(2n − 1)forn ⩽ 5. The other requires fW^2 to be −Δ-form bounded for all f ϵ C_0^∞.
Additional Information
© 1980 Published by Elsevier. Submitted by C. L. Dolph. Research partially supported by U.S. National Science Foundation under Grants MCS-76-04833 (Schechter) and MCS-78-01885 (Simon). We would like to thank Lavine for raising this problem and one of us (B.S.) would like to thank Yeshiva University for its hospitality in 1976-77 when he was a visitor and this research was initiated. We would like to thank W. Amrein, A. M. Berthier and V. Georesgu for pointing out an error in a preliminary version of this paper.Additional details
- Eprint ID
- 86535
- DOI
- 10.1016/0022-247X(80)90242-5
- Resolver ID
- CaltechAUTHORS:20180521-164135228
- NSF
- MCS-76-04833
- NSF
- MCS-78-01885
- Created
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2018-05-22Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field