Schrodinger Semigroups on the Scale of Sobolev Spaces
نویسنده
چکیده
We consider the action of semigroups e~ tH , with H =-Δ + V on L 2 (R V), on the scale of Sobolev spaces J>f α. We show that while e' tH maps L 2 — Jf° to 3tf 2 under great generality, there exist bounded V so that, for all β > 0, e~ tH [3f β ] is not contained in any 3^ a with a > 2.
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تاریخ انتشار 2004