Logarithmic stability for a coefficient inverse problem of coupled Schrodinger equations

In this paper, we study an inverse coefficient problem for two coupled Schrodinger equations with an observation of one component of the solution. The observation is carried out in a nonempty open subset of the domain where the equations hold. A logarithmic-type stability result is obtained. The main method is based on the Carleman estimate for coupled Schrodinger equations and coupled heat equations, and the Fourier-Bros-Iagolnitzer transform.

Authors
Dou F.F.1 , Yamamoto M. 2, 3
Publisher
Institute of Physics Publishing
Number of issue
7
Language
English
Status
Published
Number
075006
Volume
35
Year
2019
Organizations
  • 1 Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Sichuan, Peoples R China
  • 2 Univ Tokyo, Dept Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 153, Japan
  • 3 Peoples Friendship Univ Russia, RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia
Keywords
logarithmic stability; coefficient inverse problem; coupled Schrodinger equations; Carleman estimate
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/39131/
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