Lp-theory of Schrödinger semigroups. II
✍ Scribed by A. G. Belyi; Yu. A. Semenov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1991
- Tongue
- English
- Weight
- 667 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0037-4466
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## Abstract This paper is concerned with emptyness of the essential spectrum, or equivalently compactness of the semigroup, for perturbations of self‐adjoint operators that are bounded below (on an __L__^2^‐space). For perturbations by a (nonnegative) potential we obtain a simple criterion for com
By showing that iA is the generator of a C group on a certain interpolation p 0 Ž . space, we obtain results of wellposedness for ) , which are stronger than those p Ž . derived from the regularized or integrated groups on L ⍀ . As a by-product, it is Ž . yr Ž . shown that iA is the generator of a