Quantitative uniqueness for Schrodinger operator with regular potentials
Analysis of PDEs
2012-03-19 v1
Abstract
We give a sharp upper bound on the vanishing order of solutions to Schrodinger equation with C^1 electric and magnetic potentials on a compact smooth manifold. Our method is based on quantitative Carleman type inequalities developed by Donnelly and Fefferman. It also extends the first author's previous work to the magnetic potential case.
Cite
@article{arxiv.1203.3720,
title = {Quantitative uniqueness for Schrodinger operator with regular potentials},
author = {Laurent Bakri and Jean-Baptiste Casteras},
journal= {arXiv preprint arXiv:1203.3720},
year = {2012}
}
Comments
28 pages