Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements

Mourad Bellassoued; Oumaima Ben Fraj

doi:10.3934/ipi.2020039

Article Contents

2020, Volume 14, Issue 5: 841-865. Doi: 10.3934/ipi.2020039

This issue Previous Article Hölder-stable recovery of time-dependent electromagnetic potentials appearing in a dynamical anisotropic Schrödinger equation Next Article A nonconvex truncated regularization and box-constrained model for CT reconstruction

Stability estimates for time-dependent coefficients appearing in the magnetic Schrödinger equation from arbitrary boundary measurements

Mourad Bellassoued^, and
Oumaima Ben Fraj

University of Tunis El Manar, National Engineering School of Tunis, ENIT-LAMSIN, B.P. 37, 1002 Tunis, Tunisia

^* Corresponding author: Mourad Bellassoued
^* Corresponding author: Mourad Bellassoued

Received: November 30, 2019

Revised: February 29, 2020

Published: July 2020

The authors are supported by the Tunisian Research Program PHC-UTIQUE 19G-1507

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Abstract

In this work, we study the stable determination of time-dependent coefficients appearing in the Schrödinger equation from partial Dirichlet-to-Neumann map measured on an arbitrary part of the boundary. Specifically, we establish stability estimates up to the natural gauge for the magnetic potential.

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Mathematics Subject Classification: Primary: 35R30, 35Q60; Secondary: 35L53.

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