Carleman estimates and absence of embedded eigenvalues
数学物理
2015-06-26 v1 偏微分方程分析
math.MP
摘要
Let L be a Schroedinger operator with potential W in L^{(n+1)/2}. We prove that there is no embedded eigenvalue. The main tool is an Lp Carleman type estimate, which builds on delicate dispersive estimates established in a previous paper. The arguments extend to variable coefficient operators with long range potentials and with gradient potentials.
引用
@article{arxiv.math-ph/0508052,
title = {Carleman estimates and absence of embedded eigenvalues},
author = {Herbert Koch and Daniel Tataru},
journal= {arXiv preprint arXiv:math-ph/0508052},
year = {2015}
}
备注
26 pages