A Limiting absorption principle for high-order Schr\"odinger operators in critical spaces
Analysis of PDEs
2021-06-29 v1
Abstract
In this paper, we prove a limiting absorption principle for high-order Schr\"odinger operators with a large class of potentials which generalize some results by A. Ionescu and W. Schlag. Our main idea is to handle the boundary operators by the restriction theorem of Fourier transform. Two key tools we use in this paper are the Stein--Tomas theorem in Lorentz spaces and a sharp trace lemma given by S. Agmon and L. H\"ormander
Keywords
Cite
@article{arxiv.2106.14242,
title = {A Limiting absorption principle for high-order Schr\"odinger operators in critical spaces},
author = {Xiaoyan Su and Chengbin Xu and Guixiang Xu and Xiaoqing Yu},
journal= {arXiv preprint arXiv:2106.14242},
year = {2021}
}
Comments
15 pages. All comments are welcome