Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models
Analysis of PDEs
2023-04-13 v1
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.
Keywords
Cite
@article{arxiv.2304.05677,
title = {Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models},
author = {Benjamin Melinand},
journal= {arXiv preprint arXiv:2304.05677},
year = {2023}
}