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Pré-Publication, Document De Travail Année : 2023

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

Résumé

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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Dates et versions

hal-04065466 , version 1 (11-04-2023)
hal-04065466 , version 2 (03-10-2023)

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Benjamin Melinand. Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models. 2023. ⟨hal-04065466v1⟩
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