Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models

2023/04/12 by Benjamin Melinand, Melinand, Benjamin · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2304.05677

openalex publication_date 2023/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study linear dispersive equations in dimension one and two for a class of radial nonhomogeneous phases. L 1 → L ∞ type estimates, Strichartz estimates, local Kato smoothing and Morawetz type estimates are provided. We then apply our results to different water wave models.

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