Abstract
We obtain a representation formula for solutions to Schrödinger equations with a class of homogeneous, scaling-critical electromagnetic potentials. As a consequence, we prove the sharp \({L^1 \to L^\infty}\) time decay estimate for the 3D-inverse square and the 2D-Aharonov–Bohm potentials.
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Fanelli, L., Felli, V., Fontelos, M.A. et al. Time Decay of Scaling Critical Electromagnetic Schrödinger Flows. Commun. Math. Phys. 324, 1033–1067 (2013). https://doi.org/10.1007/s00220-013-1830-y
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DOI: https://doi.org/10.1007/s00220-013-1830-y