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Article Dans Une Revue Journal of Functional Analysis Année : 2024

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. Journal of Functional Analysis, 2024, 286 (1), pp.110204. ⟨10.1016/j.jfa.2023.110204⟩. ⟨hal-04065466v2⟩
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