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arXiv · 2512.07174

Stability for Strichartz inequalities: Existence of minimizers

Boning Di·Dunyan Yan
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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.

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Boning Di, Dunyan Yan. 2025-12-08. Stability for Strichartz inequalities: Existence of minimizers. https://arxiv.org/abs/2512.07174

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