Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs
Analysis of PDEs
2023-02-02 v1
Abstract
We establish sharp global regularity of a class of multilinear oscillatory integral operators that are associated to nonlinear dispersive equations with both Banach and quasi-Banach target spaces. As a consequence we also prove the (local in time) continuous dependence on the initial data for solutions of a large class of coupled systems of dispersive partial differential equations.
Keywords
Cite
@article{arxiv.2302.00048,
title = {Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs},
author = {Aksel Bergfeldt and Salvador Rodriguez-Lopez and David Rule and Wolfgang Staubach},
journal= {arXiv preprint arXiv:2302.00048},
year = {2023}
}
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42 pages