Published July 1992
| public
Journal Article
Best constants in some operator smoothness estimates
- Creators
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Simon, Barry
Abstract
We provide a short proof of the inequality (cf. Ben-Artzi and Klainerman [Regularity and decay of evolution equations, preprint] and Kato and Yajima [Rev. Math. Phys. 1 (1989), 481–496]) ∝−∞^∞∥(1 + x^2)^(−12)(1 − Δ)^(14)e^(itΔ)u∥^2dt ⩽ C ∥u∥^2 with explicit (essentially exact) values for C.
Additional Information
© 1992 Elsevier Inc. Received 25 March 1991. Communicated by L. Gross. I thank M. Ben-Artzi for a useful conversation.Additional details
- Eprint ID
- 81129
- Resolver ID
- CaltechAUTHORS:20170905-100002232
- Created
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2017-09-05Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field