Scholarlink

<p>We prove the observability inequalities at two time points for the Schrödinger equation in a uniform magnetic field in dimensions 2 and 3. The proofs mainly rely on Nazarov’s uncertainty principle. In particular, the observability inequality in three dimensions can also be derived from the approach used to establish the Amerin–Berthier uncertainty principle.</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

Observability for the Schrödinger Equation in a Uniform Magnetic Field

  • 期刊论文

  • 发表日期：

    2025年8月15日

查看全文
  • Fang Zhang

摘要

We prove the observability inequalities at two time points for the Schrödinger equation in a uniform magnetic field in dimensions 2 and 3. The proofs mainly rely on Nazarov’s uncertainty principle. In particular, the observability inequality in three dimensions can also be derived from the approach used to establish the Amerin–Berthier uncertainty principle.