Hölder Stable Recovery of Time-Dependent Electromagnetic Potentials Appearing in a Dynamical Anisotropic Schrödinger Equation

Abstract : We consider the inverse problem of Höldder-stably determining the time-and space-dependent coefficients of the Schrödinger equation on a simple Riemannian manifold with boundary of dimension n ≥ 2 from knowledge of the Dirichlet-to-Neumann map. Assuming the divergence of the magnetic potential is known, we show that the electric and magnetic potentials can be Hölder-stably recovered from these data. Here we also remove the smallness assumption for the solenoidal part of the magnetic potential present in previous results.
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https://hal.archives-ouvertes.fr/hal-02073349
Contributor : Yavar Kian <>
Submitted on : Tuesday, March 19, 2019 - 6:40:04 PM
Last modification on : Saturday, March 30, 2019 - 2:06:32 AM

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Yavar Kian, Alexander Tetlow. Hölder Stable Recovery of Time-Dependent Electromagnetic Potentials Appearing in a Dynamical Anisotropic Schrödinger Equation. 2019. ⟨hal-02073349⟩

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