Journal of Lanzhou University of Technology ›› 2022, Vol. 48 ›› Issue (5): 166-172.

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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

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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