Resolvent Estimates for Schr\"{o}dinger Operators with Potentials in Lebesgue Spaces
Analysis of PDEs
2020-12-29 v3
Abstract
We prove resolvent estimates in the Euclidean setting for Schr\"{o}dinger operators with potentials in Lebesgue spaces: . The estimates were already obtained by Blair-Sire-Sogge, but we extend their result to other estimates using their idea and the result and method of Kwon-Lee on non-uniform resolvent estimates in the Euclidean space.
Keywords
Cite
@article{arxiv.2004.10419,
title = {Resolvent Estimates for Schr\"{o}dinger Operators with Potentials in Lebesgue Spaces},
author = {Tianyi Ren},
journal= {arXiv preprint arXiv:2004.10419},
year = {2020}
}
Comments
16 pages, 2 figures