Refined Strichartz inequalities for the wave equation

2018/05/18 by Terence L. J. Harris, Harris, Terence L. J. · 1 citation
Mathematics · #42B10 #42B37 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1805.07146

openalex publication_date 2018/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some analogues of the Schrödinger refined Strichartz inequalities (Du, Guth, Li and Zhang) are obtained for the wave equation. These are used to improve the best known L² fractal Strichartz inequalities for the wave equation in dimensions d ≥ 4.

Citations

• On the multilinear restriction and Kakeya conjectures
• Sharp L² estimate of Schrödinger maximal function in higher dimensions

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• Weighted wave envelope estimates for the parabola

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