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Licensed Unlicensed Requires Authentication Published by De Gruyter September 12, 2017

Simultaneous determination of the magnetic field and the electric potential in the Schrödinger equation by a finite number of boundary observations

  • Ibtissem Ben Aïcha EMAIL logo and Youssef Mejri

Abstract

We study the inverse problem of determining the magnetic field and the electric potential appearing in the magnetic Schrödinger equation from the knowledge of a finite number of lateral observations of the solution. We prove a Lipschitz stability estimate for both coefficients simultaneously by choosing the “initial” conditions suitably.

MSC 2010: 35Mxx

References

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Received: 2017-3-24
Revised: 2017-6-1
Accepted: 2017-8-6
Published Online: 2017-9-12
Published in Print: 2018-4-1

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