Scholarlink

<p>We discuss the low-energy resolvent estimates for the Schrödinger operator with slowly decaying attractive potential. The main results are Rellich’s theorem, the limiting absorption principle and Sommerfeld’s uniqueness theorem. For the proofs, we employ an elementary commutator method due to Ito–Skibsted, for which neither of microlocal or functional analytic techniques is required.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Low-energy resolvent estimates for slowly decaying attractive potentials

  • 期刊论文

  • 发表日期：

    2026年7月27日

查看全文
  • Kenichi Ito,
  • Tomoya Tagawa

摘要

We discuss the low-energy resolvent estimates for the Schrödinger operator with slowly decaying attractive potential. The main results are Rellich’s theorem, the limiting absorption principle and Sommerfeld’s uniqueness theorem. For the proofs, we employ an elementary commutator method due to Ito–Skibsted, for which neither of microlocal or functional analytic techniques is required.