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arXiv · 2302.00048

Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs

Aksel Bergfeldt·Salvador Rodriguez-Lopez·David Rule·Wolfgang Staubach
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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.

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Aksel Bergfeldt, Salvador Rodriguez-Lopez, David Rule, Wolfgang Staubach. 2023-01-31. Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs. https://arxiv.org/abs/2302.00048

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