Let H:=−Δ+V be a critical Schrödinger operator on L2(R N), where N≥3 and V is a radially symmetric function decaying quadratically at the space infinity. We study the optimal decay rate of the operator norm of the Schrödinger heat semigroup e−tH from L2(RN) to Lq(RN) (2≤q≤∞).
- Critical Schrödinger operator
- L−L estimate
- Schrödinger heat semigroup
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