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arXiv · 1203.1771

Time decay of scaling critical electromagnetic Schrödinger flows

Luca Fanelli·Veronica Felli·Marco A. Fontelos·Ana Primo
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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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Luca Fanelli, Veronica Felli, Marco A. Fontelos, Ana Primo. 2012-03-08. Time decay of scaling critical electromagnetic Schrödinger flows. https://arxiv.org/abs/1203.1771

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