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arxiv: 1709.08100 · v2 · pith:6ZQRNHIZnew · submitted 2017-09-23 · 🧮 math.CA · math.AP

A Sharpened Strichartz Inequality For Radial Functions

classification 🧮 math.CA math.AP
keywords inequalityfunctionsmathbbradialsharpenedstrichartzbounddata
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We prove a sharpened version of the Strichartz inequality for radial solutions of the Schr\"odinger equation in $\mathbb{R}^2\times \mathbb{R}$. We establish an improved upper bound for functions that nearly extremize the inequality, with a negative second term that measures the distance from the initial data to Gaussians.

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