Smoothing estimates for the Schrodinger equation with unbounded potentials
Analysis of PDEs
2016-03-24 v2 Mathematical Physics
math.MP
Abstract
We prove a local in time smoothing estimate for a magnetic Schrodinger equation with coefficients growing polynomially at spatial infinity. The assumptions on the magnetic field are gauge invariant and involve only the first two derivatives. The proof is based on the multiplier method and no pseudofferential techniques are required.
Cite
@article{arxiv.0807.2280,
title = {Smoothing estimates for the Schrodinger equation with unbounded potentials},
author = {Piero D'Ancona and Luca Fanelli},
journal= {arXiv preprint arXiv:0807.2280},
year = {2016}
}
Comments
10 pages