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 L1 → L∞ time decay estimate for the 3D-inverse square and the 2D-Aharonov-Bohm potentials. © 2013 Springer-Verlag Berlin Heidelberg.
Time Decay of Scaling Critical Electromagnetic Schrödinger Flows / Fanelli, Luca; Veronica, Felli; Marco A., Fontelos; Ana, Primo. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 324:3(2013), pp. 1033-1067. [10.1007/s00220-013-1830-y]
Time Decay of Scaling Critical Electromagnetic Schrödinger Flows
FANELLI, Luca;
2013
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 L1 → L∞ time decay estimate for the 3D-inverse square and the 2D-Aharonov-Bohm potentials. © 2013 Springer-Verlag Berlin Heidelberg.File allegati a questo prodotto
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