Conditional stability of coefficients inverse problem for strongly coupled Schrödinger equations

Abstract

In this paper, we retrieve a stationary potential in the strongly coupled Schrödinger equations from either boundary or internal measurements. Lipschitz stabilities are obtained by means of new Carleman estimates for the system with different observations, respectively.

Keywords:

• Carleman estimate
• coefficient inverse problem
• strongly coupled Schrödinger equations

2020 Mathematics Subject Classification:

• 65M32

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The second author thanks the support of the NSFC (Nos. 12071061, 11971093), the Fundamental Research Funds for the Central Universities (No. ) and the Science Strength Promotion Programme of UESTC.