A Limiting absorption principle for high-order Schr\'odinger operators in critical spaces

Autor:	Su, Xiaoyan, Xu, Chengbin, Xu, Guixiang, Yu, Xiaoqing
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Primary 47A10 Secondary 35P05
Druh dokumentu:	Working Paper
Popis:	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 Comment: 15 pages. All comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2106.14242 Zobrazit plný text záznamu View this record from Arxiv