Time decay of scaling critical electromagnetic Schr\"odinger flows
Analysis of PDEs
2012-03-09 v1
Abstract
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 time decay estimate for the 3D-inverse square and the 2D-Aharonov-Bohm potentials.
Keywords
Cite
@article{arxiv.1203.1771,
title = {Time decay of scaling critical electromagnetic Schr\"odinger flows},
author = {Luca Fanelli and Veronica Felli and Marco A. Fontelos and Ana Primo},
journal= {arXiv preprint arXiv:1203.1771},
year = {2012}
}
Comments
32 pages, 1 figure