Stability estimate in an inverse problem for non-autonomous magnetic Schrodinger equations

作者：Cristofol Michel^*; Soccorsi Eric

来源：Applicable Analysis, 2011, 90(10): 1499-1520.

DOI：10.1080/00036811.2010.524161

• Schrodinger equation
• time-dependent Hamiltonian
• magnetic vector potential
• inverse problem
• Carleman estimate
• Lipschitz stability estimate

We consider the inverse problem of determining the time-dependent magnetic field of the Schrodinger equation in a bounded open subset of R-n, n >= 1, from a finite number of Neumann data, when the boundary measurement is taken on an appropriate open subset of the boundary. We prove the Lipschitz stability of the magnetic potential in the Coulomb gauge class by n times changing initial value suitably.

• 出版日期2011