Published May 2005
| Submitted
Journal Article
Open
Dispersive Estimates for Schrödinger Operators in Dimension Two
- Creators
- Schlag, W.
Abstract
We prove L^1(ℝ^2)→L^∞(ℝ^2) for the two-dimensional Schrödinger operator −Δ+V with the decay rate t^(−1). We assume that zero energy is neither an eigenvalue nor a resonance. This condition is formulated as in the recent paper by Jensen and Nenciu on threshold expansions for the two-dimensional resolvent.
Additional Information
© Springer-Verlag Berlin Heidelberg 2005. Received: 21 April 2004 / Accepted: 16 July 2004 / Published online: 11 January 2005. Communicated by B. Simon. The author was partially supported by the NSF grant DMS-0300081 and a Sloan Fellowship. The author wishes to thank Monica Visan for comments on a preliminary version of this paper, as well as the anonymous referee for a very careful reading and many helpful comments.Attached Files
Submitted - 0405437.pdf
Files
0405437.pdf
Files
(342.1 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:15809846f2d5fe2a69eeb7b90efb7d05
|
342.1 kB | Preview Download |
Additional details
- Eprint ID
- 76130
- Resolver ID
- CaltechAUTHORS:20170408-160721963
- DMS-0300081
- NSF
- Alfred P. Sloan Foundation
- Created
-
2017-06-21Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field