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.

Авторы
Dou F.F.1 , Yamamoto M. 2, 3
Журнал
Издательство
Institute of Physics Publishing
Номер выпуска
7
Язык
Английский
Статус
Опубликовано
Номер
075006
Том
35
Год
2019
Организации
  • 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
Ключевые слова
logarithmic stability; coefficient inverse problem; coupled Schrodinger equations; Carleman estimate
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/39131/