Time decay of scaling critical electromagnetic Schrödinger flows

Details Time decay of scaling critical electromagnetic Schrödinger flows Time decay of scaling critical electromagnetic Schrödinger flows

2012-03-08

arxiv.org/abs/1203.1771v1

Mathematics

Analysis of PDEs

32 pages, 1 figure

Scientific paper

We obtain a representation formula for solutions to Schr\"odinger 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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