Boundary Strichartz estimates and pointwise convergence for orthonormal systems
Analysis of PDEs
2023-06-27 v1 Classical Analysis and ODEs
Abstract
We consider maximal estimates associated with fermionic systems. First we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cases of the many-body Strichartz estimates pioneered by Frank, Lewin, Lieb and Seiringer. We also prove new maximal-in-time estimates, thereby significantly extending work of Lee, Nakamura and the first author on Carleson's pointwise convergence problem for fermionic systems.
Keywords
Cite
@article{arxiv.2306.14536,
title = {Boundary Strichartz estimates and pointwise convergence for orthonormal systems},
author = {Neal Bez and Shinya Kinoshita and Shobu Shiraki},
journal= {arXiv preprint arXiv:2306.14536},
year = {2023}
}
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33 pages