Uniform $L^p$ Resolvent Estimates on the Torus
Analysis of PDEs
2019-07-19 v1 Classical Analysis and ODEs
Abstract
A new range of uniform resolvent estimates is obtained in the setting of the flat torus, improving previous results of Bourgain, Shao, Sogge and Yao. The arguments rely on the -decoupling theorem and multidimensional Weyl sum estimates.
Cite
@article{arxiv.1907.08131,
title = {Uniform $L^p$ Resolvent Estimates on the Torus},
author = {Jonathan Hickman},
journal= {arXiv preprint arXiv:1907.08131},
year = {2019}
}
Comments
14 pages, 1 figure