Decay rate of Lq norms of critical Schrödinger heat semigroups

Kazuhiro Ishige, Yoshitsugu Kabeya

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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≤∞).

Original languageEnglish
Pages (from-to)165-178
Number of pages14
JournalSpringer INdAM Series
Publication statusPublished - 2013


  • Critical Schrödinger operator
  • L−L estimate
  • Schrödinger heat semigroup

ASJC Scopus subject areas

  • Mathematics(all)


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