H "older Stable Recovery of Time-Dependent Electromagnetic Potentials\n Appearing in a Dynamical Anisotropic Schr "odinger Equation

2019/01/28 by Yavar Kian, Kian, Yavar, Alexander Tetlow +1
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #35R30 #Advanced X-ray Imaging Techniques #Analysis of PDEs (math.AP) #FOS: Mathematics #Geophysical and Geoelectrical Methods #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1901.09728

openalex publication_date 2019/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the inverse problem of H "oldder-stably determining the time- and\nspace-dependent coefficients of the Schr "odinger equation on a simple\nRiemannian manifold with boundary of dimension n\≥2 from knowledge of the\nDirichlet-to-Neumann map. Assuming the divergence of the magnetic potential is\nknown, we show that the electric and magnetic potentials can be H "older-stably\nrecovered from these data. Here we also remove the smallness assumption for the\nsolenoidal part of the magnetic potential present in previous results.\n

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