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We consider the inverse problem of H\"oldder-stably determining the time- andspace-dependent coefficients of the Schr\"odinger equation on a simpleRiemannian manifold with boundary of dimension $n\geq2$ from knowledge of theDirichlet-to-Neumann map. Assuming the divergence of the magnetic potential isknown, we show that the electric and magnetic potentials can be H\"older-stablyrecovered from these data. Here we also remove the smallness assumption for thesolenoidal part of the magnetic potential present in previous results.

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