Stability for Strichartz inequalities: Existence of minimizers
Classical Analysis and ODEs
2026-01-21 v2 Analysis of PDEs
Functional Analysis
Abstract
We study the quantitative stability associated with the adjoint Fourier restriction inequality, focusing on the paraboloid and two-dimensional sphere cases. We show that these Strichartz-stability inequalities admit minimizers attaining their sharp constants, provided that these sharp constants are strictly smaller than the corresponding spectral-gap constants. Furthermore, for the two-dimensional sphere case, we obtain the existence of minimizers.
Keywords
Cite
@article{arxiv.2512.07174,
title = {Stability for Strichartz inequalities: Existence of minimizers},
author = {Boning Di and Dunyan Yan},
journal= {arXiv preprint arXiv:2512.07174},
year = {2026}
}
Comments
25 pages, comments are welcome