Stability estimate in an inverse problem for non-autonomous Schr\'odinger equations

Autor: Cristofol, Michel, Soccorsi, Eric
Rok vydání: 2012
Předmět:
Zdroj: Applicable Analysis 90, 10 (2011) 1499-1520
Druh dokumentu: Working Paper
Popis: We consider the inverse problem of determining the time dependent magnetic field of the Schr\"odinger equation in a bounded open subset of $R^n$, with $n \geq 1$, from a finite number of Neumann data, when the boundary measurement is taken on an appropriate open subset of the boundary. We prove the Lispchitz stability of the magnetic potential in the Coulomb gauge class by $n$ times changing initial value suitably.
Databáze: arXiv