Scale invariant energy smoothing estimates for the Schr\"odinger Equation with small Magnetic Potential
Analysis of PDEs
2010-08-25 v1 Classical Analysis and ODEs
Abstract
We consider some scale invariant generalizations of the smoothing estimates for the free Schr\"odnger equation obtained by Kenig, Ponce and Vega. Applying these estimates and using appropriate commutator estimates, we obtain similar scale invariant smoothing estimates for perturbed Schr\"odnger equation with small magnetic potential.
Keywords
Cite
@article{arxiv.math/0509015,
title = {Scale invariant energy smoothing estimates for the Schr\"odinger Equation with small Magnetic Potential},
author = {Vladimir Georgiev and Mirko Tarulli},
journal= {arXiv preprint arXiv:math/0509015},
year = {2010}
}