兰州理工大学学报 ›› 2022, Vol. 48 ›› Issue (5): 166-172.

• 数理科学 • 上一篇    

Schrödinger方程在Neumann边界控制下的正则性与能观测性

白忠玉*   

  1. 海口经济学院 网络学院, 海南 海口 571127
  • 收稿日期:2021-12-10 出版日期:2022-10-28 发布日期:2022-11-21
  • 通讯作者: 白忠玉(1980-),男,山东日照人,硕士,副教授. Email:610977231@qq.com
  • 基金资助:
    海南省自然科学基金(120RC663)

Regularity and observability of Schrödinger equation under the Neumann boundary control

BAI Zhong-yu   

  1. Faculty of Network Science, Haikou University of Economics, Haikou 571127, China
  • Received:2021-12-10 Online:2022-10-28 Published:2022-11-21

摘要: 研究了Schrödinger方程的正则性和能观测性.在Neumann边界控制和同位观测下,利用适定性结果,证明了系统在G.Weiss意义下是正则的,其直接传输算子为零,并建立了能观测性不等式.

关键词: Schrödinger方程, 边界控制, 正则性, 能观测性

Abstract: The regularity and observability of aSchrödinger equation are studied. Under Neumann boundary control and collocated observation, it is proved that the system is regular in the sense of G.Weiss via the well posed results. The feedthrough operator is found to be zero, and the observability inequality is established.

Key words: Schrödinger equation, boundary control, regularity, observability

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