Abstract
Let H:=-δ+V be a nonnegative Schrödinger operator on L2(RN), where N≥2 and V be a radially symmetric function decaying quadratically at the space infinity. In this paper we consider the Schrödinger heat semigroup e-tH and make a complete table of the decay rates of the operator norms of e-tH in the Lorentz spaces as t→∞.
Original language | English |
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Pages (from-to) | 900-923 |
Number of pages | 24 |
Journal | Journal des Mathematiques Pures et Appliquees |
Volume | 103 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2015 Apr 1 |
Externally published | Yes |
Keywords
- Lorentz spaces
- Quadratically decaying potential
- Schrödinger heat semigroups
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics