Thumbnail - No thumbnail

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

Melinand, Benjamin (2023), Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models. https://basepub.dauphine.psl.eu/handle/123456789/24886

View/Open
Type
Document de travail / Working paper
External document link
https://hal.science/hal-04065466
Date
2023
Series title
Cahier de recherche CEREMADE, Université Paris Dauphine-PSL
Published in
Paris
Pages
29
Metadata
Show full item record
Author(s)
Melinand, Benjamin
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
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.