Stability estimates for relativistic Schrödinger equation from partial boundary data
arXiv:2007.02331 · doi:10.1088/1361-6420/abca7f
Abstract
In this article we study stability aspects for the determination of time-dependent vector and scalar potentials in relativistic Schrödinger equation from partial knowledge of boundary measurements. For space dimensions strictly greater than 2 we obtain log-log stability estimates for the determination of vector potentials (modulo gauge equivalence) and log-log-log stability estimates for the determination of scalar potentials from partial boundary data assuming suitable a-priori bounds on these potentials.
arXiv comment22 pages
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