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Kernel estimates for a class of Schrödinger semigroups

✍ Scribed by G. Metafune; C. Spina


Publisher
Springer
Year
2007
Tongue
English
Weight
208 KB
Volume
7
Category
Article
ISSN
1424-3199

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✍ Archil Gulisashvili 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 262 KB

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