Uniform L p Resolvent Estimates on the Torus
Hickman, Jonathan1
1 School of Mathematics, The University of Edinburgh, Edinburgh EH9 3JZ, UK
Mathematics Research Reports, Tome 1 (2020), pp. 31-45.

A new range of uniform L p 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 ℓ 2 -decoupling theorem and multidimensional Weyl sum estimates.

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DOI : 10.5802/mrr.1
Classification : 35J05, 35P20, 11P21
Hickman, Jonathan 1

1 School of Mathematics, The University of Edinburgh, Edinburgh EH9 3JZ, UK 
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Hickman, Jonathan. Uniform $L^p$ Resolvent Estimates on the Torus. Mathematics Research Reports, Tome 1 (2020), pp. 31-45. doi : 10.5802/mrr.1. http://www.numdam.org/articles/10.5802/mrr.1/

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