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Sharp Estimates in Smoothing Theorems for Schrödinger Semigroups

✍ Scribed by Archil Gulisashvili

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
262 KB
Volume
170
Category
Article
ISSN
0022-1236

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✦ Synopsis

The smoothing properties of Schro dinger semigroups, e &tH , H= & 1 2 2+V, on the scale of Bessel potential spaces L p, : are studied. We strengthen the (L p &L p, : )smoothing theorem due to M. A. Kon and the author. The new version of this theorem contains a sharp time-estimate for the norm of the semigroup e &tH . We also get an estimate for the constants arising in the form-boundedness inequality for the Kato class potentials.

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