Published April 1986
| Published
Journal Article
Open
Schrödinger semigroups on the scale of Sobolev spaces
- Creators
-
Simon, Barry
Chicago
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Abstract
We consider the action of semigroups e(-tH), with H = -Δ + V on L(2)(R(v)), on the scale of Sobolev spaces H(α). We show that while e(-tH) maps L(2)=H(0) to H(2) under great generality, there exist bounded V so that, for all β > 0, e(-tH)[H(β)] is not contained in any H(α) with a > 2.
Additional Information
© 1986 Pacific Journal of Mathematics. Received December 17, 1984 and in revised form March 26, 1985. Research suported by USNSF under grant MCS-81-20833.Attached Files
Published - SIMpjm86.pdf
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Additional details
- Eprint ID
- 715
- Resolver ID
- CaltechAUTHORS:SIMpjm86
- NSF
- MCS-81-20833
- Created
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2005-09-16Created from EPrint's datestamp field
- Updated
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2019-10-02Created from EPrint's last_modified field