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arXiv · 2304.05677

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

Benjamin Melinand
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Abstract

We study linear dispersive equations in dimension one and two for a class of radial nonhomogeneous phases. L 1 $\rightarrow$ L $\infty$ 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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Benjamin Melinand. 2023-04-12. Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models. https://arxiv.org/abs/2304.05677

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