Single logarithmic conditional stability in determining unknown boundaries

We prove a conditional stability estimate of log-type for determining unknown boundaries from a single Cauchy data taken on an accessible sub-boundary. Our approach relies on new interior and boundary estimates for elliptic equations which are derived from the Carleman estimate. Stability results for target identification of an acoustic sound-soft scatterer from one or several far-field patterns are also obtained. © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.

Авторы
Elschner J.1 , Hu G.2 , Yamamoto M. 3, 4
Журнал
Язык
Английский
Статус
Опубликовано
Год
2018
Организации
  • 1 Weierstrass Institute, Berlin, Germany
  • 2 Beijing Computational Science Research Center, Beijing, China
  • 3 Department of Mathematical Sciences, University of Tokyo, Tokyo, Japan
  • 4 Center of Nonlinear Problems of Mathematical Physics, Peoples' Friendship University of Russia, Moscow, Russian Federation
Ключевые слова
Bo Zhang; Carleman estimate; Conditional stability; elliptic equations; inverse scattering; single Cauchy data
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/7220/